Pith Number

pith:MLXVL5NJ

pith:2013:MLXVL5NJQCAJOE3GMEMEKZFL6K

not attested not anchored not stored refs pending

Homomesy in products of two chains

James Propp, Tom Roby

arxiv:1310.5201 v6 · 2013-10-19 · 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{MLXVL5NJQCAJOE3GMEMEKZFL6K}

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	2026-05-18T01:42:57.654275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62ef55f5a9808097136661184564abf290480586b21f4b43bb7dacd3f44fbf9f

Aliases

arxiv: 1310.5201 · arxiv_version: 1310.5201v6 · doi: 10.48550/arxiv.1310.5201 · pith_short_12: MLXVL5NJQCAJ · pith_short_16: MLXVL5NJQCAJOE3G · pith_short_8: MLXVL5NJ

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/MLXVL5NJQCAJOE3GMEMEKZFL6K \
  | 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: 62ef55f5a9808097136661184564abf290480586b21f4b43bb7dacd3f44fbf9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88cd7c874c5ab3309c4dba900b1958e60f5a02dc8c50467555f6d24a435395ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-19T04:31:20Z",
    "title_canon_sha256": "99d2f418e815417fb3b804bbb28a36a82883329f9e87ec0f0ef3d1d08dcb3d48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5201",
    "kind": "arxiv",
    "version": 6
  }
}