Pith Number

pith:4Y34PC7F

pith:2016:4Y34PC7FIXSBOV6HNEFCAA7OJZ

not attested not anchored not stored refs pending

The slice spectral sequence for singular schemes and applications

Amalendu Krishna, Pablo Pelaez

arxiv:1606.05810 v4 · 2016-06-18 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Y34PC7FIXSBOV6HNEFCAA7OJZ}

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.

Receipt and verification

First computed	2026-05-17T23:57:36.883993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e637c78be545e41757c7690a2003ee4e4b08ff9db54e373f96b93c3f002ebe9e

Aliases

arxiv: 1606.05810 · arxiv_version: 1606.05810v4 · doi: 10.48550/arxiv.1606.05810 · pith_short_12: 4Y34PC7FIXSB · pith_short_16: 4Y34PC7FIXSBOV6H · pith_short_8: 4Y34PC7F

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/4Y34PC7FIXSBOV6HNEFCAA7OJZ \
  | 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: e637c78be545e41757c7690a2003ee4e4b08ff9db54e373f96b93c3f002ebe9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c54e762fa89ad7f5d49735751e963a1282ace2935f2b640fbf0b10f84a2348f9",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-18T22:03:06Z",
    "title_canon_sha256": "748c4476e134acb1f00436a535cff6d5c03998a56b4a73be964e466f31aee145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05810",
    "kind": "arxiv",
    "version": 4
  }
}