Pith Number

pith:MFG725AE

pith:2009:MFG725AEALUGPWL63E5MJKH6FX

not attested not anchored not stored refs pending

Symmetrically Constrained Compositions

Carla D. Savage, Ira M. Gessel, Matthias Beck, Sunyoung Lee

arxiv:0906.5573 v2 · 2009-06-30 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFG725AEALUGPWL63E5MJKH6FX}

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	2026-05-18T03:07:53.049573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614dfd740402e867d97ed93ac4a8fe2dd6b5659ff4dd5458d0421240e0600f6a

Aliases

arxiv: 0906.5573 · arxiv_version: 0906.5573v2 · doi: 10.48550/arxiv.0906.5573 · pith_short_12: MFG725AEALUG · pith_short_16: MFG725AEALUGPWL6 · pith_short_8: MFG725AE

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/MFG725AEALUGPWL63E5MJKH6FX \
  | 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: 614dfd740402e867d97ed93ac4a8fe2dd6b5659ff4dd5458d0421240e0600f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5da6260394ffe8c503b2ab464ff3d8f6aa76b9fd7a75f74e55a091fb44607bc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-30T16:14:29Z",
    "title_canon_sha256": "a21d2bc2bb905d201e7ec623b4c2386f9c432159a0deefb664ed53f54ff27663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5573",
    "kind": "arxiv",
    "version": 2
  }
}