Pith Number

pith:YKVCVB23

pith:2010:YKVCVB23WUTB5GOHOP3XUKR4XD

not attested not anchored not stored refs pending

Semi-monotone sets

Andrei Gabrielov, Nicolai Vorobjov, Saugata Basu

arxiv:1004.5047 v2 · 2010-04-28 · math.LO · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKVCVB23WUTB5GOHOP3XUKR4XD}

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	2026-05-18T04:17:25.148045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2aa2a875bb5261e99c773f77a2a3cb8c9c6cade36bcf614c0a4353c9deccb11

Aliases

arxiv: 1004.5047 · arxiv_version: 1004.5047v2 · doi: 10.48550/arxiv.1004.5047 · pith_short_12: YKVCVB23WUTB · pith_short_16: YKVCVB23WUTB5GOH · pith_short_8: YKVCVB23

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/YKVCVB23WUTB5GOHOP3XUKR4XD \
  | 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: c2aa2a875bb5261e99c773f77a2a3cb8c9c6cade36bcf614c0a4353c9deccb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbdd0f793cb4a821115e10e217ae77b96e4331b94f45c61d52c0006f375641c3",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-04-28T14:49:59Z",
    "title_canon_sha256": "d5cc9c825195a8482c8bffd8e68a8549936913a54d5cd49a31cb906eb79a0702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5047",
    "kind": "arxiv",
    "version": 2
  }
}