Pith Number

pith:AQOSKB2B

pith:2015:AQOSKB2BIAM3IM33ZUDYRM753U

not attested not anchored not stored refs pending

Model structure on projective systems of $C^*$-algebras and bivariant homology theories

Ilan Barnea, Michael Joachim, Snigdhayan Mahanta

arxiv:1508.04283 v2 · 2015-08-18 · math.KT · math.AT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQOSKB2BIAM3IM33ZUDYRM753U}

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	2026-05-18T00:48:20.571655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041d2507414019b4337bcd0788b3fddd1eccdbea8b118656edb99749412c5ce1

Aliases

arxiv: 1508.04283 · arxiv_version: 1508.04283v2 · doi: 10.48550/arxiv.1508.04283 · pith_short_12: AQOSKB2BIAM3 · pith_short_16: AQOSKB2BIAM3IM33 · pith_short_8: AQOSKB2B

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/AQOSKB2BIAM3IM33ZUDYRM753U \
  | 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: 041d2507414019b4337bcd0788b3fddd1eccdbea8b118656edb99749412c5ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2027f8a5cead10c199ab1d5cfe2914787028cda7b1930201f68fea1ea2ee46b9",
    "cross_cats_sorted": [
      "math.AT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-08-18T11:36:41Z",
    "title_canon_sha256": "6dd051f757267a834ef77d2a9512270cd3848004447c8eaea6d77a8414a0937c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04283",
    "kind": "arxiv",
    "version": 2
  }
}