Pith Number

pith:GL5HN2U7

pith:2025:GL5HN2U7JRXP4WAQYEMRF6CHHA

not attested not anchored not stored refs pending

On almost Gallai colourings in complete graphs

Alexandr Grebennikov, Let\'icia Mattos, Tibor Szab\'o

arxiv:2503.17334 v2 · 2025-03-21 · 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{GL5HN2U7JRXP4WAQYEMRF6CHHA}

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	2026-07-05T10:38:24.102217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32fa76ea9f4c6efe5810c11912f847381dcea4e74a0660275fa8cf5b194755cb

Aliases

arxiv: 2503.17334 · arxiv_version: 2503.17334v2 · doi: 10.48550/arxiv.2503.17334 · pith_short_12: GL5HN2U7JRXP · pith_short_16: GL5HN2U7JRXP4WAQ · pith_short_8: GL5HN2U7

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/GL5HN2U7JRXP4WAQYEMRF6CHHA \
  | 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: 32fa76ea9f4c6efe5810c11912f847381dcea4e74a0660275fa8cf5b194755cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc0b74e8950be239ea215a9591cdaef5d431672b40dc1f1e52450a460ee42fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-21T17:33:27Z",
    "title_canon_sha256": "8c62554a9d4e00c58e3975c3151373ebac8c6f1629272218a6a88dee01062951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17334",
    "kind": "arxiv",
    "version": 2
  }
}