Pith Number

pith:IYLR3RRG

pith:2016:IYLR3RRGW22XJ6QETJR4UGXRF3

not attested not anchored not stored refs pending

Hyper-commutative algebras and cyclic cohomology

Benjamin C. Ward

arxiv:1601.07150 v2 · 2016-01-26 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYLR3RRGW22XJ6QETJR4UGXRF3}

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	2026-05-18T01:01:44.689002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46171dc626b6b574fa049a63ca1af12ee3a07122ec2e21b8d07628400ebb09d9

Aliases

arxiv: 1601.07150 · arxiv_version: 1601.07150v2 · doi: 10.48550/arxiv.1601.07150 · pith_short_12: IYLR3RRGW22X · pith_short_16: IYLR3RRGW22XJ6QE · pith_short_8: IYLR3RRG

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/IYLR3RRGW22XJ6QETJR4UGXRF3 \
  | 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: 46171dc626b6b574fa049a63ca1af12ee3a07122ec2e21b8d07628400ebb09d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe7210e08ebf792a09182a6edb5523131a1523c5f7df90ec6821911921ec0d5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-01-26T20:15:07Z",
    "title_canon_sha256": "dbfbcec9b98cb8796c23ebc3c9773e5f8dd7168ae67c0e12ad5bed633b3afd33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07150",
    "kind": "arxiv",
    "version": 2
  }
}