Pith Number

pith:S7T2VVH4

pith:2016:S7T2VVH4UZPD7OKVTPDTNADSZM

not attested not anchored not stored refs pending

Some invariance properties of cyclic cohomology with coefficients

Ilya Shapiro

arxiv:1611.01425 v1 · 2016-11-04 · math.KT · math.CT · 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{S7T2VVH4UZPD7OKVTPDTNADSZM}

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	2026-05-18T01:00:11.044929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e7aad4fca65e3fb9559bc7368072cb26fdaffeb139067c50d69d1f5b927259

Aliases

arxiv: 1611.01425 · arxiv_version: 1611.01425v1 · doi: 10.48550/arxiv.1611.01425 · pith_short_12: S7T2VVH4UZPD · pith_short_16: S7T2VVH4UZPD7OKV · pith_short_8: S7T2VVH4

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/S7T2VVH4UZPD7OKVTPDTNADSZM \
  | 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: 97e7aad4fca65e3fb9559bc7368072cb26fdaffeb139067c50d69d1f5b927259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f23738d369c4de0aa51e10654c3dae9d364659453d361e45f5308b8173bdd8c",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-11-04T15:38:56Z",
    "title_canon_sha256": "5a6b828c85ac356f345aca6c67bad877a62a6825592e66fba6095592aa8d6f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01425",
    "kind": "arxiv",
    "version": 1
  }
}