Pith Number

pith:BFNP7WSW

pith:2012:BFNP7WSWX32U773QGI5TQK4R3K

not attested not anchored not stored refs pending

An algebraic model for finite loop spaces

Bob Oliver, Carles Broto, Ran Levi

arxiv:1212.2033 v2 · 2012-12-10 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFNP7WSWX32U773QGI5TQK4R3K}

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	2026-05-18T02:32:54.582900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095affda56bef54fff70323b382b91da883cd122dbb14da73055b3657ca75158

Aliases

arxiv: 1212.2033 · arxiv_version: 1212.2033v2 · doi: 10.48550/arxiv.1212.2033 · pith_short_12: BFNP7WSWX32U · pith_short_16: BFNP7WSWX32U773Q · pith_short_8: BFNP7WSW

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/BFNP7WSWX32U773QGI5TQK4R3K \
  | 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: 095affda56bef54fff70323b382b91da883cd122dbb14da73055b3657ca75158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1c57dfe66f6158d474d40f5f847c23d49dff89a6b2e50a44e9123b89ef8ae7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-10T11:22:28Z",
    "title_canon_sha256": "7295244198967da96ca494df7fb5009685d680a479668b789e8aa2f9938fc369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2033",
    "kind": "arxiv",
    "version": 2
  }
}