Pith Number

pith:SHF4TLET

pith:2026:SHF4TLETJH6S6MB2DMFQBVQZYT

not attested not anchored not stored refs pending

Joins and ear decompositions beyond graphic matroids

Chaitanya Nalam, Krist\'of B\'erczi, Yuhang Bai

arxiv:2608.01059 v1 · 2026-08-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHF4TLETJH6S6MB2DMFQBVQZYT}

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	2026-08-04T01:56:27.262702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91cbc9ac9349fd2f303a1b0b00d619c4e3bc40d32e53f0d7b064e0d67d8d330f

Aliases

arxiv: 2608.01059 · arxiv_version: 2608.01059v1 · doi: 10.48550/arxiv.2608.01059 · pith_short_12: SHF4TLETJH6S · pith_short_16: SHF4TLETJH6S6MB2 · pith_short_8: SHF4TLET

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/SHF4TLETJH6S6MB2DMFQBVQZYT \
  | 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: 91cbc9ac9349fd2f303a1b0b00d619c4e3bc40d32e53f0d7b064e0d67d8d330f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45adbf7dcae21a94f86bf98bc9677a02fdaaa9f7fc89202f3bf75c35a307a70b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-02T07:51:24Z",
    "title_canon_sha256": "97ea2fb234ea9462dda2b165ea661f2dd873f5b055f564d6f097ea858ad1c0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01059",
    "kind": "arxiv",
    "version": 1
  }
}