Pith Number

pith:HEYGOP2J

pith:2025:HEYGOP2JSP76XCC62Q3YZN22QH

not attested not anchored not stored refs pending

Fractional balanced chromatic number and arboricity of planar (signed) graphs

Cyril Pujol, Huan Zhou, Lan Anh Pham, Reza Naserasr

arxiv:2505.16808 v1 · 2025-05-22 · 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{HEYGOP2JSP76XCC62Q3YZN22QH}

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	2026-07-05T11:07:41.609690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3930673f4993ffeb885ed4378cb75a81e6ebbb6783d0bd8b4d3a285a58cfbaba

Aliases

arxiv: 2505.16808 · arxiv_version: 2505.16808v1 · doi: 10.48550/arxiv.2505.16808 · pith_short_12: HEYGOP2JSP76 · pith_short_16: HEYGOP2JSP76XCC6 · pith_short_8: HEYGOP2J

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/HEYGOP2JSP76XCC62Q3YZN22QH \
  | 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: 3930673f4993ffeb885ed4378cb75a81e6ebbb6783d0bd8b4d3a285a58cfbaba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d8de8a4feecdfff58a706bc3d2bb3f19fb35657cdea136e9e0c901362c243f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-22T15:48:11Z",
    "title_canon_sha256": "3c7dd84ebfacf807f7f429b4b132f561fbec0f16ef11139071bd12dbd91073a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16808",
    "kind": "arxiv",
    "version": 1
  }
}