Pith Number

pith:FHRHF2TN

pith:2010:FHRHF2TNPYSOOBKJ3HZTJROP44

not attested not anchored not stored refs pending

Lattice Polynomials, 12312-Avoiding Partial Matchings and Even Trees

Louis W. Shapiro, Susan Y. J. Wu, William Y. C. Chen

arxiv:1011.3650 v1 · 2010-11-16 · 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{FHRHF2TNPYSOOBKJ3HZTJROP44}

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	2026-05-18T04:35:48.372766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e272ea6d7e24e70549d9f334c5cfe73d4ff453c0b10ba033bdfde5d5413de1

Aliases

arxiv: 1011.3650 · arxiv_version: 1011.3650v1 · doi: 10.48550/arxiv.1011.3650 · pith_short_12: FHRHF2TNPYSO · pith_short_16: FHRHF2TNPYSOOBKJ · pith_short_8: FHRHF2TN

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/FHRHF2TNPYSOOBKJ3HZTJROP44 \
  | 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: 29e272ea6d7e24e70549d9f334c5cfe73d4ff453c0b10ba033bdfde5d5413de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf8aa5a9ddf7b53571fe5605ce32c54ad9ada6d83398c222ce943b174b7ecd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-16T11:12:13Z",
    "title_canon_sha256": "2ebac64c6c6006bafe1a3938952ec430c2c7505f871c49aa1aaac39413b71545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3650",
    "kind": "arxiv",
    "version": 1
  }
}