Pith Number

pith:42C6UZQA

pith:2025:42C6UZQARXTCRVLY3M4BQ6OPKP

not attested not anchored not stored refs pending

Fan-goodness of sparse graphs

Ting Huang, Yanbo Zhang, Yaojun Chen

arxiv:2507.09832 v1 · 2025-07-13 · 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{42C6UZQARXTCRVLY3M4BQ6OPKP}

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.

Cited by

2 papers in Pith

AutoRubric-T2I: Robust Rule-Based Reward Model for Text-to-Image Alignment

Receipt and verification

First computed	2026-07-05T11:36:40.487326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e685ea66008de628d578db381879cf53ff626bd492df794b6c2c5ff4f42235da

Aliases

arxiv: 2507.09832 · arxiv_version: 2507.09832v1 · doi: 10.48550/arxiv.2507.09832 · pith_short_12: 42C6UZQARXTC · pith_short_16: 42C6UZQARXTCRVLY · pith_short_8: 42C6UZQA

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/42C6UZQARXTCRVLY3M4BQ6OPKP \
  | 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: e685ea66008de628d578db381879cf53ff626bd492df794b6c2c5ff4f42235da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42e03f7109dc7d06075a67493264336550d7bbc8555757c2a11486b235b7222",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-13T23:59:39Z",
    "title_canon_sha256": "650078dd8663bff5e592693bc249170099ad6afcf29d82f8cc47ef09deeb451e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09832",
    "kind": "arxiv",
    "version": 1
  }
}