Pith Number

pith:FG7TL7AX

pith:2026:FG7TL7AXM5LSLHXLWI6T4T3MTE

not attested not anchored not stored refs pending

Odd Hadwiger number and graph products

Andrea Jim\'enez, Daniel A. Quiroz, Henry Echeverr\'ia, Mauricio Y\'epez, Suchismita Mishra

arxiv:2603.28748 v2 · 2026-03-30 · 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{FG7TL7AXM5LSLHXLWI6T4T3MTE}

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	2026-07-02T01:18:07.794577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bf35fc176757259eebb23d3e4f6c9931b371ce4f1e861dda4b2a8b9a98c458

Aliases

arxiv: 2603.28748 · arxiv_version: 2603.28748v2 · doi: 10.48550/arxiv.2603.28748 · pith_short_12: FG7TL7AXM5LS · pith_short_16: FG7TL7AXM5LSLHXL · pith_short_8: FG7TL7AX

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/FG7TL7AXM5LSLHXLWI6T4T3MTE \
  | 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: 29bf35fc176757259eebb23d3e4f6c9931b371ce4f1e861dda4b2a8b9a98c458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961dd152edbb5419f29c7f7a9d34ca4357b4f7b32d4b1b6d01bf96ab5267ef0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-03-30T17:53:34Z",
    "title_canon_sha256": "d2ab43357e67ed34f5ce8bf50b9b569c518dff8bd357873fc617c05d7a9f7994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.28748",
    "kind": "arxiv",
    "version": 2
  }
}