Pith Number

pith:CHK2NR5K

pith:2011:CHK2NR5KK7B7R6CRSGAWGWUQGI

not attested not anchored not stored refs pending

Maurer-Cartan moduli and models for function spaces

Andrey Lazarev

arxiv:1109.3715 v2 · 2011-09-16 · math.AT · math.AG · 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{CHK2NR5KK7B7R6CRSGAWGWUQGI}

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	2026-05-18T03:38:56.316535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d5a6c7aa57c3f8f8519181635a90321e8f2bc98e2f223699a291c9ad6ef034

Aliases

arxiv: 1109.3715 · arxiv_version: 1109.3715v2 · doi: 10.48550/arxiv.1109.3715 · pith_short_12: CHK2NR5KK7B7 · pith_short_16: CHK2NR5KK7B7R6CR · pith_short_8: CHK2NR5K

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/CHK2NR5KK7B7R6CRSGAWGWUQGI \
  | 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: 11d5a6c7aa57c3f8f8519181635a90321e8f2bc98e2f223699a291c9ad6ef034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fe614a15d30986a7a549538d90082e0e470147634ef092b31ce906d4ba58c74",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-16T20:03:28Z",
    "title_canon_sha256": "70681134c94dc53c8ed5366d8d64177883bd67421a4cc5f492be4b928cf72b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3715",
    "kind": "arxiv",
    "version": 2
  }
}