Pith Number

pith:EOIAF2FM

pith:2026:EOIAF2FMQ34ZD4USYOFQBOIQLT

not attested not anchored not stored refs pending

Tighter Bounds on the Degree-Truncated Choice Number of Planar Graphs

Huan Zhou, Huijuan Xu, Jialu Zhu, Xuding Zhu

arxiv:2606.06216 v1 · 2026-06-04 · 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{EOIAF2FMQ34ZD4USYOFQBOIQLT}

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	2026-06-05T01:15:38.091290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239002e8ac86f991f292c38b00b9105ce0359ef04aa9d5a3977aebb9d89a5233

Aliases

arxiv: 2606.06216 · arxiv_version: 2606.06216v1 · doi: 10.48550/arxiv.2606.06216 · pith_short_12: EOIAF2FMQ34Z · pith_short_16: EOIAF2FMQ34ZD4US · pith_short_8: EOIAF2FM

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/EOIAF2FMQ34ZD4USYOFQBOIQLT \
  | 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: 239002e8ac86f991f292c38b00b9105ce0359ef04aa9d5a3977aebb9d89a5233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1686eca9992f23373d765c506588e69c25e78d78d65d045e0f9f7a99731ce9c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-04T14:30:45Z",
    "title_canon_sha256": "94a7d94e036102b186b8c7ebdad85566e3af09f8f01402f3f97742eee585d6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06216",
    "kind": "arxiv",
    "version": 1
  }
}