Pith Number

pith:KPOOMA6P

pith:2017:KPOOMA6P2MVBS3WKALR2UPSS6G

not attested not anchored not stored refs pending

The Essential Skeleton of a product of degenerations

Enrica Mazzon, Morgan Brown

arxiv:1712.07235 v1 · 2017-12-19 · 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{KPOOMA6P2MVBS3WKALR2UPSS6G}

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	2026-05-17T23:43:07.200139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53dce603cfd32a196eca02e3aa3e52f1a3cbca6b8e6d7529af6926a5d3e7fd0b

Aliases

arxiv: 1712.07235 · arxiv_version: 1712.07235v1 · doi: 10.48550/arxiv.1712.07235 · pith_short_12: KPOOMA6P2MVB · pith_short_16: KPOOMA6P2MVBS3WK · pith_short_8: KPOOMA6P

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/KPOOMA6P2MVBS3WKALR2UPSS6G \
  | 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: 53dce603cfd32a196eca02e3aa3e52f1a3cbca6b8e6d7529af6926a5d3e7fd0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a5784342f8a262e808f7299bdb4ba8d96867dea810b4480292a54c3447c9e04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-19T21:55:58Z",
    "title_canon_sha256": "f7f812ff3856abc0a3ba7815b905d1579ec26ee552addb13606b8bcf9363d684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07235",
    "kind": "arxiv",
    "version": 1
  }
}