Pith Number

pith:AN2WD5E4

pith:2025:AN2WD5E4OHGUQA73PP3M4JFM2M

not attested not anchored not stored refs pending

The optimal binding function for (cap, even hole)-free graphs

Baogang Xu, Ran Chen, Yian Xu

arxiv:2506.19580 v1 · 2025-06-24 · 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{AN2WD5E4OHGUQA73PP3M4JFM2M}

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	2026-07-05T11:26:34.949543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037561f49c71cd4803fb7bf6ce24acd3279d2867a5dac91fa857945c963bce6a

Aliases

arxiv: 2506.19580 · arxiv_version: 2506.19580v1 · doi: 10.48550/arxiv.2506.19580 · pith_short_12: AN2WD5E4OHGU · pith_short_16: AN2WD5E4OHGUQA73 · pith_short_8: AN2WD5E4

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/AN2WD5E4OHGUQA73PP3M4JFM2M \
  | 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: 037561f49c71cd4803fb7bf6ce24acd3279d2867a5dac91fa857945c963bce6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf343ed7bcf3d2e80ef6be79fff730fe29d26eb37ca752f499d71f809d71c41b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-24T12:45:23Z",
    "title_canon_sha256": "9a605e4eb29cbf1df0cf61e4074e414fca4cfc59d9615bcc6c4593a899a9ed6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19580",
    "kind": "arxiv",
    "version": 1
  }
}