Pith Number

pith:UKXEZIOM

pith:2010:UKXEZIOM6UJTQ64BUKD4CSFRLU

not attested not anchored not stored refs pending

A categorification of Morelli's theorem

Bohan Fang, Chiu-Chu Melissa Liu, David Treumann, Eric Zaslow

arxiv:1007.0053 v2 · 2010-07-01 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKXEZIOM6UJTQ64BUKD4CSFRLU}

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	2026-05-18T04:12:34.003349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ae4ca1ccf513387b81a287c148b15d3b755038aa63485b65fbdd0df83f13c4

Aliases

arxiv: 1007.0053 · arxiv_version: 1007.0053v2 · doi: 10.48550/arxiv.1007.0053 · pith_short_12: UKXEZIOM6UJT · pith_short_16: UKXEZIOM6UJTQ64B · pith_short_8: UKXEZIOM

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/UKXEZIOM6UJTQ64BUKD4CSFRLU \
  | 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: a2ae4ca1ccf513387b81a287c148b15d3b755038aa63485b65fbdd0df83f13c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d872f928265f2cef4554fa942a9cecf134deadc46a9dfb2e86a1bd8f881fc85b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-01T01:11:28Z",
    "title_canon_sha256": "955cec8084034eb2cbb1dad262cdc1fbdfe5faec7cfa0e740423c207f1b51f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0053",
    "kind": "arxiv",
    "version": 2
  }
}