Pith Number

pith:ZCTUTPFK

pith:2017:ZCTUTPFKAB3JLMXCN2QRTO5I2K

not attested not anchored not stored refs pending

Some heterochromatic theorems for matroids

Criel Merino, Juan Jos\'e Montellano-Ballesteros

arxiv:1708.08562 v1 · 2017-08-29 · 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{ZCTUTPFKAB3JLMXCN2QRTO5I2K}

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	2026-05-18T00:36:27.425355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a749bcaa007695b2e26ea119bba8d295fd1fabacc53237f6a307a92fdab993

Aliases

arxiv: 1708.08562 · arxiv_version: 1708.08562v1 · doi: 10.48550/arxiv.1708.08562 · pith_short_12: ZCTUTPFKAB3J · pith_short_16: ZCTUTPFKAB3JLMXC · pith_short_8: ZCTUTPFK

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/ZCTUTPFKAB3JLMXCN2QRTO5I2K \
  | 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: c8a749bcaa007695b2e26ea119bba8d295fd1fabacc53237f6a307a92fdab993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efbb54b027d6d936a5781ef5d77da6b0896d2711aedc60719b3cbe75e1d52c6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-29T00:12:13Z",
    "title_canon_sha256": "22a7cbe922930eab365ddf528fe498b405ea8f6899d7b1c42b689c38cc741c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08562",
    "kind": "arxiv",
    "version": 1
  }
}