Pith Number

pith:F266OK2K

pith:2011:F266OK2KT6X7GZGOISB2GPETXO

not attested not anchored not stored refs pending

Group completion and units in I-spaces

Christian Schlichtkrull, Steffen Sagave

arxiv:1111.6413 v3 · 2011-11-28 · 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{F266OK2KT6X7GZGOISB2GPETXO}

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	2026-05-18T02:41:43.537797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ebde72b4a9faff364ce4483a33c93bbba298f77d9450c5efc47f90238764dcd

Aliases

arxiv: 1111.6413 · arxiv_version: 1111.6413v3 · doi: 10.48550/arxiv.1111.6413 · pith_short_12: F266OK2KT6X7 · pith_short_16: F266OK2KT6X7GZGO · pith_short_8: F266OK2K

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/F266OK2KT6X7GZGOISB2GPETXO \
  | 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: 2ebde72b4a9faff364ce4483a33c93bbba298f77d9450c5efc47f90238764dcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a80cf9b3fde39b1185f98e2d6f8f3bb46397b3b3f8137940a5d277a64ba2e495",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-28T11:28:11Z",
    "title_canon_sha256": "013a9573ec6de3c6b38f482f0707da5d5440f220b67cb389c0e5e4388ddb7cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6413",
    "kind": "arxiv",
    "version": 3
  }
}