Pith Number

pith:NW7FR7MQ

pith:2010:NW7FR7MQYZ4Y6MOUJSMVXFJAGV

not attested not anchored not stored refs pending

Structure of Hochschild cohomology of path algebras and differential formulation of Euler's polyhedron formula

Fang Li, Li Guo

arxiv:1010.1980 v2 · 2010-10-11 · math.RA · math.CO · 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{NW7FR7MQYZ4Y6MOUJSMVXFJAGV}

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	2026-05-18T01:30:15.932913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbe58fd90c6798f31d44c995b9520354371e82c5e09a85e0033e4db6abb6fd4

Aliases

arxiv: 1010.1980 · arxiv_version: 1010.1980v2 · doi: 10.48550/arxiv.1010.1980 · pith_short_12: NW7FR7MQYZ4Y · pith_short_16: NW7FR7MQYZ4Y6MOU · pith_short_8: NW7FR7MQ

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/NW7FR7MQYZ4Y6MOUJSMVXFJAGV \
  | 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: 6dbe58fd90c6798f31d44c995b9520354371e82c5e09a85e0033e4db6abb6fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eab9531fb59adc8622e58f51e4aceae3d1e2da97e859ab926e6e9fa49e34c4f",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-11T01:22:17Z",
    "title_canon_sha256": "5135e8a3797549c722273fcf6d1388a5b119eedf1726d64a2f30a2742be0ddf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1980",
    "kind": "arxiv",
    "version": 2
  }
}