Pith Number

pith:OSFKKX4T

pith:2025:OSFKKX4TFYR5DYQW4QK3EUDTHE

not attested not anchored not stored refs pending

Degree-truncated choosability of graphs

Huan Zhou, Jialu Zhu, Xuding Zhu

arxiv:2507.10453 v1 · 2025-07-14 · 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{OSFKKX4TFYR5DYQW4QK3EUDTHE}

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	2026-07-05T11:36:51.648520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748aa55f932e23d1e216e415b2507339096093dbd85e23c67d09e7de910eaa8c

Aliases

arxiv: 2507.10453 · arxiv_version: 2507.10453v1 · doi: 10.48550/arxiv.2507.10453 · pith_short_12: OSFKKX4TFYR5 · pith_short_16: OSFKKX4TFYR5DYQW · pith_short_8: OSFKKX4T

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/OSFKKX4TFYR5DYQW4QK3EUDTHE \
  | 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: 748aa55f932e23d1e216e415b2507339096093dbd85e23c67d09e7de910eaa8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f596e56b73100372764f29cc983db75c90f20988f22f228a33dfceefcaca313d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-14T16:31:11Z",
    "title_canon_sha256": "40356dac317eaafe5f86eaba821fe7a40019a9e42bc260d36a79ac06186eba3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10453",
    "kind": "arxiv",
    "version": 1
  }
}