Pith Number

pith:YTHCMUXS

pith:2012:YTHCMUXSRV4B3RNCJYF5DRI4W7

not attested not anchored not stored refs pending

Merging divisorial with colored fans

Klaus Altmann, Lars Petersen, Valentina Kiritchenko

arxiv:1210.4523 v3 · 2012-10-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTHCMUXSRV4B3RNCJYF5DRI4W7}

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	2026-05-18T01:49:56.251496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ce2652f28d781dc5a24e0bd1c51cb7dd8d8b22e84c89a62e422d9dd9266f0c

Aliases

arxiv: 1210.4523 · arxiv_version: 1210.4523v3 · doi: 10.48550/arxiv.1210.4523 · pith_short_12: YTHCMUXSRV4B · pith_short_16: YTHCMUXSRV4B3RNC · pith_short_8: YTHCMUXS

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/YTHCMUXSRV4B3RNCJYF5DRI4W7 \
  | 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: c4ce2652f28d781dc5a24e0bd1c51cb7dd8d8b22e84c89a62e422d9dd9266f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7415a18058fc7b3de68b3efa61f387843532d13c15e807ccc85a40b04a32a262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-16T18:41:08Z",
    "title_canon_sha256": "734d608b89e549801bb63a59497a44cbc625c4b76fa30e20304cb398589573b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4523",
    "kind": "arxiv",
    "version": 3
  }
}