Pith Number

pith:LOIHQ5N7

pith:2012:LOIHQ5N73OC6Y4FPYPU2MMBB5E

not attested not anchored not stored refs pending

Polynomial-time computation of homotopy groups and Postnikov systems in fixed dimension

Jiri Matousek, Lukas Vokrinek, Marek Krcal, Martin Cadek, Uli Wagner

arxiv:1211.3093 v2 · 2012-11-13 · cs.CG · 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{LOIHQ5N73OC6Y4FPYPU2MMBB5E}

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	2026-05-18T02:50:59.731202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b907875bfdb85ec70afc3e9a63021e90378cba9e51db75891a9b2a818172559

Aliases

arxiv: 1211.3093 · arxiv_version: 1211.3093v2 · doi: 10.48550/arxiv.1211.3093 · pith_short_12: LOIHQ5N73OC6 · pith_short_16: LOIHQ5N73OC6Y4FP · pith_short_8: LOIHQ5N7

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/LOIHQ5N73OC6Y4FPYPU2MMBB5E \
  | 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: 5b907875bfdb85ec70afc3e9a63021e90378cba9e51db75891a9b2a818172559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec20109cca05871fc6f0176e37ba26e71c83360811e60f5b319db9fab77a7f13",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-11-13T19:54:08Z",
    "title_canon_sha256": "bf8857bd1d780a41accbd23fc6b15d68f135699ea40a235feeefca0fa5ffe035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3093",
    "kind": "arxiv",
    "version": 2
  }
}