Pith Number

pith:I2ABKE5B

pith:2024:I2ABKE5BHH776P7HRKAV5JHHAP

not attested not anchored not stored refs pending

K-theory and localizing invariants of large categories

Alexander I. Efimov

arxiv:2405.12169 v3 · 2024-05-20 · math.KT · math.AG · math.AT · math.CT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2ABKE5BHH776P7HRKAV5JHHAP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

$E$-theory of $X$-$C^{*}$-algebras and functor formalisms

Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry

Lectures on Analytic Geometry

Whitehead torsion and the kernel of assembly

Bredon sheaf cohomology

Receipt and verification

First computed	2026-07-05T10:10:23.295616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46801513a139ffff3fe78a815ea4e703d659f5ca3011e86d1801680681fb59fb

Aliases

arxiv: 2405.12169 · arxiv_version: 2405.12169v3 · doi: 10.48550/arxiv.2405.12169 · pith_short_12: I2ABKE5BHH77 · pith_short_16: I2ABKE5BHH776P7H · pith_short_8: I2ABKE5B

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I2ABKE5BHH776P7HRKAV5JHHAP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 46801513a139ffff3fe78a815ea4e703d659f5ca3011e86d1801680681fb59fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe862fe3e831cc8c7e40d43c1347a6b4e4f710b1daa07b48482619d5733748b6",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-05-20T16:52:58Z",
    "title_canon_sha256": "f79a48df4e5581acd3ebaa757fdef3302b334814de04f72e9a59f1cb78a5f623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.12169",
    "kind": "arxiv",
    "version": 3
  }
}