Pith Number

pith:LIKJNEWN

pith:2011:LIKJNEWNTM33ZUZ6NA3YLMUJK4

not attested not anchored not stored refs pending

On de Rham Cohomology of Linear Categories

Andrei Chite\c{s}, Drago\c{s} \c{S}tefan, M\u{a}d\u{a}lin Ciungu

arxiv:1112.4182 v1 · 2011-12-18 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIKJNEWNTM33ZUZ6NA3YLMUJK4}

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	2026-05-18T04:06:06.888385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a149692cd9b37bcd33e683785b289571ca59cf7922e2775be11f44a2dfe817c

Aliases

arxiv: 1112.4182 · arxiv_version: 1112.4182v1 · doi: 10.48550/arxiv.1112.4182 · pith_short_12: LIKJNEWNTM33 · pith_short_16: LIKJNEWNTM33ZUZ6 · pith_short_8: LIKJNEWN

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/LIKJNEWNTM33ZUZ6NA3YLMUJK4 \
  | 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: 5a149692cd9b37bcd33e683785b289571ca59cf7922e2775be11f44a2dfe817c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae96f9c9df14942304963d52c22bf92ce87281aa43db1608444c0b6606ed6be5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-12-18T19:59:34Z",
    "title_canon_sha256": "58db5b5d9f937d0d926311129528fe38267c7d2bc7cc2607a8b69fc8dbdcf14c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4182",
    "kind": "arxiv",
    "version": 1
  }
}