Pith Number

pith:UKROTACA

pith:2012:UKROTACABHEKODTPOP4JT2ZSN2

not attested not anchored not stored refs pending

Formality of Sinha's cosimplicial model for long knots spaces and the Gerstenhaber algebra structure of homology

Paul Arnaud Songhafouo Tsopm\'en\'e

arxiv:1210.2561 v4 · 2012-10-09 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKROTACABHEKODTPOP4JT2ZSN2}

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	2026-05-18T00:04:47.856905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a2e9804009c8a70e6f73f899eb326ebcf5209e3894a5a982b59146b28bc8b7

Aliases

arxiv: 1210.2561 · arxiv_version: 1210.2561v4 · doi: 10.48550/arxiv.1210.2561 · pith_short_12: UKROTACABHEK · pith_short_16: UKROTACABHEKODTP · pith_short_8: UKROTACA

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/UKROTACABHEKODTPOP4JT2ZSN2 \
  | 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: a2a2e9804009c8a70e6f73f899eb326ebcf5209e3894a5a982b59146b28bc8b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428ef5ff9639fb17fa35c3275b6620a5fe143e9e2a3c018aeda9f188cb32c96e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-09T11:10:56Z",
    "title_canon_sha256": "bba4f50b5d48b1d3bea822d31f7d1da21e8327846d6bad80d151deccfea1e3a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2561",
    "kind": "arxiv",
    "version": 4
  }
}