Pith Number

pith:ZDGM3CMS

pith:2011:ZDGM3CMSBT4Q2PFVVCGJMHPCU5

not attested not anchored not stored refs pending

The Homotopy Braces Formality Morphism

Thomas Willwacher

arxiv:1109.3520 v2 · 2011-09-16 · 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{ZDGM3CMSBT4Q2PFVVCGJMHPCU5}

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	2026-05-18T01:05:46.770556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8cccd89920cf90d3cb5a88c961de2a75b8e7a85fa079e6ba77383fb71111e1f

Aliases

arxiv: 1109.3520 · arxiv_version: 1109.3520v2 · doi: 10.48550/arxiv.1109.3520 · pith_short_12: ZDGM3CMSBT4Q · pith_short_16: ZDGM3CMSBT4Q2PFV · pith_short_8: ZDGM3CMS

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/ZDGM3CMSBT4Q2PFVVCGJMHPCU5 \
  | 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: c8cccd89920cf90d3cb5a88c961de2a75b8e7a85fa079e6ba77383fb71111e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9510cd9311747d72e7e161d6b0f70d61d7bac61f37f7fbcf7fd5f2931bd505f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-16T02:33:13Z",
    "title_canon_sha256": "b1361a358166597179b81b10ba523ed22b9da8135c18fa9bd3571cf9d222a9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3520",
    "kind": "arxiv",
    "version": 2
  }
}