Pith Number

pith:7JKCU4JH

pith:2001:7JKCU4JHEVJAYL5R6DMB33DBTA

not attested not anchored not stored refs pending

Homotopy Diagrams of Algebras

Martin Markl

arxiv:math/0103052 v1 · 2001-03-07 · 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{7JKCU4JHEVJAYL5R6DMB33DBTA}

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.

Cited by

1 paper in Pith

Full S-matrices and Witten diagrams with (relative) L-infinity algebras

Receipt and verification

First computed	2026-07-04T14:35:06.632627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa542a712725520c2fb1f0d81dec619827c3f17da4761acf0e4f65012bef2f67

Aliases

arxiv: math/0103052 · arxiv_version: math/0103052v1 · doi: 10.48550/arxiv.math/0103052 · pith_short_12: 7JKCU4JHEVJA · pith_short_16: 7JKCU4JHEVJAYL5R · pith_short_8: 7JKCU4JH

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/7JKCU4JHEVJAYL5R6DMB33DBTA \
  | 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: fa542a712725520c2fb1f0d81dec619827c3f17da4761acf0e4f65012bef2f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eaa5c86901c3357d396bab28200715da90caac9bbc06bacbda9ee6660124365",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-03-07T22:57:08Z",
    "title_canon_sha256": "af1cd73b6e360735a176695aef653a8ea46e4d596352148ff045c318fd514401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103052",
    "kind": "arxiv",
    "version": 1
  }
}