Pith Number

pith:ZT66TCTR

pith:2013:ZT66TCTR5GEEJAIIMICA2XW5CV

not attested not anchored not stored refs pending

Triviality of the higher Formality Theorem

Damien Calaque, Thomas Willwacher

arxiv:1310.4605 v1 · 2013-10-17 · 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{ZT66TCTR5GEEJAIIMICA2XW5CV}

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	2026-05-18T01:22:19.207053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfde98a71e98844810862040d5edd155789fc21fdac471b0de56b4e6ec9ab40

Aliases

arxiv: 1310.4605 · arxiv_version: 1310.4605v1 · doi: 10.48550/arxiv.1310.4605 · pith_short_12: ZT66TCTR5GEE · pith_short_16: ZT66TCTR5GEEJAII · pith_short_8: ZT66TCTR

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/ZT66TCTR5GEEJAIIMICA2XW5CV \
  | 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: ccfde98a71e98844810862040d5edd155789fc21fdac471b0de56b4e6ec9ab40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c54c0dfd2ba787ad8dc113c5f58d0200d97f153c76420b72e19dc6a27f027ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-10-17T07:51:19Z",
    "title_canon_sha256": "d4a623d4c16b88d9d67c1907be985e59f42ae51d66f6640fe5f52caa6f92a0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4605",
    "kind": "arxiv",
    "version": 1
  }
}