Pith Number

pith:2SDU5M75

pith:2017:2SDU5M75MIZ64LCWQ5NYQL32BN

not attested not anchored not stored refs pending

Pre-Lie pairs and triviality of the Lie bracket on the twisted hairy graph complexes

Thomas Willwacher

arxiv:1702.04504 v1 · 2017-02-15 · 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{2SDU5M75MIZ64LCWQ5NYQL32BN}

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	2026-05-18T00:50:41.470529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4874eb3fd6233ee2c56875b882f7a0b7bf643b63100360d1ad0c12da0be5b00

Aliases

arxiv: 1702.04504 · arxiv_version: 1702.04504v1 · doi: 10.48550/arxiv.1702.04504 · pith_short_12: 2SDU5M75MIZ6 · pith_short_16: 2SDU5M75MIZ64LCW · pith_short_8: 2SDU5M75

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/2SDU5M75MIZ64LCWQ5NYQL32BN \
  | 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: d4874eb3fd6233ee2c56875b882f7a0b7bf643b63100360d1ad0c12da0be5b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5055bea220080ec8e37f20d6558c74b4159edb84823b1dfd0993f4e6422841f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-02-15T08:59:05Z",
    "title_canon_sha256": "348fd5e35911f6a2168dbac115618037d9928f30ae41054bca5ff5ff2e023148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04504",
    "kind": "arxiv",
    "version": 1
  }
}