Pith Number

pith:4I5JKSQ4

pith:2018:4I5JKSQ4ZP2EG4EQI5FLB27DU7

not attested not anchored not stored refs pending

Topology and biology: From Aristotle to Thom

Athanase Papadopoulos (IRMA, YMSC)

arxiv:1811.09090 v1 · 2018-11-22 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I5JKSQ4ZP2EG4EQI5FLB27DU7}

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	2026-05-18T00:00:07.110622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23a954a1ccbf4437090474ab0ebe3a7da9203da6c606d18a2e6fc97ddc4e348

Aliases

arxiv: 1811.09090 · arxiv_version: 1811.09090v1 · doi: 10.48550/arxiv.1811.09090 · pith_short_12: 4I5JKSQ4ZP2E · pith_short_16: 4I5JKSQ4ZP2EG4EQ · pith_short_8: 4I5JKSQ4

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/4I5JKSQ4ZP2EG4EQI5FLB27DU7 \
  | 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: e23a954a1ccbf4437090474ab0ebe3a7da9203da6c606d18a2e6fc97ddc4e348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36bf71f4811dcf5d6d0fab9279e98d568c341f49cd2dd5bf4a5d2693ad09ca49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-11-22T10:33:18Z",
    "title_canon_sha256": "9b68415882dbd67f5b624f19b564c28dfb788368d57ae050e8dab6f32938b71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09090",
    "kind": "arxiv",
    "version": 1
  }
}