Pith Number

pith:GU5P7ZCM

pith:2025:GU5P7ZCMYI2LXJWXLHROPQFQZF

not attested not anchored not stored refs pending

A birational description of the minimal exponent

Mircea Musta\c{t}\u{a}, Qianyu Chen

arxiv:2502.07233 v1 · 2025-02-11 · 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{GU5P7ZCMYI2LXJWXLHROPQFQZF}

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	2026-07-05T10:12:34.642958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353affe44cc234bba6d759e2e7c0b0c949e5365819ac4f28645b5fef6d11c99a

Aliases

arxiv: 2502.07233 · arxiv_version: 2502.07233v1 · doi: 10.48550/arxiv.2502.07233 · pith_short_12: GU5P7ZCMYI2L · pith_short_16: GU5P7ZCMYI2LXJWX · pith_short_8: GU5P7ZCM

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/GU5P7ZCMYI2LXJWXLHROPQFQZF \
  | 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: 353affe44cc234bba6d759e2e7c0b0c949e5365819ac4f28645b5fef6d11c99a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b005e01233c0258ac7bfe898d0492272eb5a3140081969a202c56e8d2076d77",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-11T03:53:39Z",
    "title_canon_sha256": "4f9748f2d29d86f7f8dbc2dd4d4dced2ab874b3c4c0ea78e750805b3f8932730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07233",
    "kind": "arxiv",
    "version": 1
  }
}