Pith Number

pith:GPES4RH6

pith:2007:GPES4RH62JDYNTNQB6FZSN474C

not attested not anchored not stored refs pending

Deformation theory of representations of prop(erad)s

Bruno Vallette, Sergei Merkulov

arxiv:0707.0889 v4 · 2007-07-06 · math.QA · 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{GPES4RH62JDYNTNQB6FZSN474C}

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	2026-05-18T04:25:28.926692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c92e44fed24786cdb00f8b99379fe08886bd47e41e504cb967fb0c364a296b

Aliases

arxiv: 0707.0889 · arxiv_version: 0707.0889v4 · doi: 10.48550/arxiv.0707.0889 · pith_short_12: GPES4RH62JDY · pith_short_16: GPES4RH62JDYNTNQ · pith_short_8: GPES4RH6

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/GPES4RH62JDYNTNQB6FZSN474C \
  | 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: 33c92e44fed24786cdb00f8b99379fe08886bd47e41e504cb967fb0c364a296b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef5a9e7bcaccfb63e582e626e66e4b8a15daf7e7938e783aa7a1a6e8d5a70109",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-07-06T00:07:43Z",
    "title_canon_sha256": "fb27c51e12755a7fbe985f202def9aef0999fff72c8b24080a31ad22945fa289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0889",
    "kind": "arxiv",
    "version": 4
  }
}