Pith Number

pith:NJRELGNM

pith:2019:NJRELGNMMO46DLPOL2DNBN6CRB

not attested not anchored not stored refs pending

Cycles over DGH-semicategories and pairings in categorical Hopf-cyclic cohomology

Abhishek Banerjee, Mamta Balodi

arxiv:1901.09580 v4 · 2019-01-28 · 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{NJRELGNMMO46DLPOL2DNBN6CRB}

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	2026-07-05T00:56:23.372281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a624599ac63b9e1adee5e86d0b7c28863f418629fe619cb9907ca52eda634a5

Aliases

arxiv: 1901.09580 · arxiv_version: 1901.09580v4 · doi: 10.48550/arxiv.1901.09580 · pith_short_12: NJRELGNMMO46 · pith_short_16: NJRELGNMMO46DLPO · pith_short_8: NJRELGNM

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/NJRELGNMMO46DLPOL2DNBN6CRB \
  | 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: 6a624599ac63b9e1adee5e86d0b7c28863f418629fe619cb9907ca52eda634a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d188d44761adaed126a69e90ccbe1a5eb8462dc61828b3c06800d21ae308e445",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-01-28T10:13:48Z",
    "title_canon_sha256": "29f3296bf24456fdd6c30ba68b7d99fae66d29914a5e2882cb1059a5f38f7ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09580",
    "kind": "arxiv",
    "version": 4
  }
}