Pith Number

pith:M5LKJCSF

pith:2012:M5LKJCSF5GEU7UYY5VZIRXWDOD

not attested not anchored not stored refs pending

Homotopy Theory of Labelled Symmetric Precubical Sets

Philippe Gaucher

arxiv:1208.4494 v3 · 2012-08-22 · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5LKJCSF5GEU7UYY5VZIRXWDOD}

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	2026-05-18T03:00:49.848545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6756a48a45e9894fd318ed7288dec370fbe2a2cd74adfd9e785df2ed25d9d900

Aliases

arxiv: 1208.4494 · arxiv_version: 1208.4494v3 · doi: 10.48550/arxiv.1208.4494 · pith_short_12: M5LKJCSF5GEU · pith_short_16: M5LKJCSF5GEU7UYY · pith_short_8: M5LKJCSF

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/M5LKJCSF5GEU7UYY5VZIRXWDOD \
  | 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: 6756a48a45e9894fd318ed7288dec370fbe2a2cd74adfd9e785df2ed25d9d900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c762c5f797b06310d0217a97a36bf3a7af4457c3666fabbce61c64dbdb5b2b9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-22T13:16:05Z",
    "title_canon_sha256": "1f9a21c26d0a5f5f1d4693f3dbbcf6d8546801348ae40cfd5d333b664db5d1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4494",
    "kind": "arxiv",
    "version": 3
  }
}