Pith Number

pith:TCI4ILLF

pith:2011:TCI4ILLF4T3C3GLYYPOV2JB3LZ

not attested not anchored not stored refs pending

Cellular Stratified Spaces I: Face Categories and Classifying Spaces

Dai Tamaki

arxiv:1106.3772 v4 · 2011-06-19 · math.AT · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCI4ILLF4T3C3GLYYPOV2JB3LZ}

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	2026-05-18T01:04:35.501677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9891c42d65e4f62d9978c3dd5d243b5e6973edfed0e7efe911467a25f10bcf98

Aliases

arxiv: 1106.3772 · arxiv_version: 1106.3772v4 · doi: 10.48550/arxiv.1106.3772 · pith_short_12: TCI4ILLF4T3C · pith_short_16: TCI4ILLF4T3C3GLY · pith_short_8: TCI4ILLF

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/TCI4ILLF4T3C3GLYYPOV2JB3LZ \
  | 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: 9891c42d65e4f62d9978c3dd5d243b5e6973edfed0e7efe911467a25f10bcf98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d486a2c0843a665f469ab878f9d6cefb18ecce8b85b6bd3f417b3a87898efc",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-19T19:08:45Z",
    "title_canon_sha256": "3466a5c5709fb3b55d25edd0019fbe660b369eb29be09aca92a42b214e38e54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3772",
    "kind": "arxiv",
    "version": 4
  }
}