Pith Number

pith:LZ3MJIQZ

pith:2012:LZ3MJIQZCCSJAG5E7JFZOAJRR6

not attested not anchored not stored refs pending

Operadic Twisting -- with an application to Deligne's conjecture

Thomas Willwacher, Vasily Dolgushev

arxiv:1207.2180 v3 · 2012-07-09 · math.RA · 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{LZ3MJIQZCCSJAG5E7JFZOAJRR6}

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	2026-05-18T02:49:20.556692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e76c4a21910a4901ba4fa4b9701318fbd214928b408f4bfbd03d581fb89379c

Aliases

arxiv: 1207.2180 · arxiv_version: 1207.2180v3 · doi: 10.48550/arxiv.1207.2180 · pith_short_12: LZ3MJIQZCCSJ · pith_short_16: LZ3MJIQZCCSJAG5E · pith_short_8: LZ3MJIQZ

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/LZ3MJIQZCCSJAG5E7JFZOAJRR6 \
  | 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: 5e76c4a21910a4901ba4fa4b9701318fbd214928b408f4bfbd03d581fb89379c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89dc1b58180e8f54cd4e85173dfaef4d31860fb4a9d555a3aef043f19e8dcaa8",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-09T20:48:49Z",
    "title_canon_sha256": "9c2f552da915b55a8e5d3e92ea056355dede1aae681033163085e9fe0285fcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2180",
    "kind": "arxiv",
    "version": 3
  }
}