Pith Number

pith:4UGBSROP

pith:2015:4UGBSROPW77DLJDFC5E4TFV62I

not attested not anchored not stored refs pending

Braided Hochschild cohomology and Hopf actions

Cris Negron

arxiv:1511.07059 v1 · 2015-11-22 · math.QA · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UGBSROPW77DLJDFC5E4TFV62I}

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	2026-05-18T01:26:16.761592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50c1945cfb7fe35a4651749c996bed21ae4d94b2a85945225a2f453b8d707ac

Aliases

arxiv: 1511.07059 · arxiv_version: 1511.07059v1 · doi: 10.48550/arxiv.1511.07059 · pith_short_12: 4UGBSROPW77D · pith_short_16: 4UGBSROPW77DLJDF · pith_short_8: 4UGBSROP

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/4UGBSROPW77DLJDFC5E4TFV62I \
  | 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: e50c1945cfb7fe35a4651749c996bed21ae4d94b2a85945225a2f453b8d707ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60146966e3972cf81bffc384d319e529970a6007428e866fdf18731d308b76b3",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-11-22T19:44:26Z",
    "title_canon_sha256": "183df021b3f274e50e1d36efb513dc673d09fd867a4d793d3e8db67e4c784945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07059",
    "kind": "arxiv",
    "version": 1
  }
}