Pith Number

pith:26ML4E56

pith:2012:26ML4E56CUQM45BGEWHMTZE6N2

not attested not anchored not stored refs pending

Remarks about bubbles

Gianluca Pacienza, Michael McQuillan

arxiv:1211.0203 v1 · 2012-11-01 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26ML4E56CUQM45BGEWHMTZE6N2}

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	2026-05-18T03:41:42.787130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d798be13be1520ce7426258ec9e49e6ea533d8f22a6fdde961cecb58fa43dd76

Aliases

arxiv: 1211.0203 · arxiv_version: 1211.0203v1 · doi: 10.48550/arxiv.1211.0203 · pith_short_12: 26ML4E56CUQM · pith_short_16: 26ML4E56CUQM45BG · pith_short_8: 26ML4E56

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/26ML4E56CUQM45BGEWHMTZE6N2 \
  | 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: d798be13be1520ce7426258ec9e49e6ea533d8f22a6fdde961cecb58fa43dd76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf9bf5e9b6eebb567f7a262edb62a9e1758a7622a9c709dd6ad3982fcef6981",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-01T15:24:49Z",
    "title_canon_sha256": "0ee8ee63f83aef954a3ac7a2d151b169b51329f75ce55bfdea6bdd4d32f2683b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0203",
    "kind": "arxiv",
    "version": 1
  }
}