Pith Number

pith:SJPRW6XU

pith:2010:SJPRW6XU4ATLGU34HGB26E7LIJ

not attested not anchored not stored refs pending

On core and bar-core partitions

Jean-Baptiste Gramain, Rishi Nath

arxiv:1011.3323 v1 · 2010-11-15 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJPRW6XU4ATLGU34HGB26E7LIJ}

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	2026-05-18T03:37:05.906781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925f1b7af4e026b3537c3983af13eb4273d4aec61a41b704064b0bc5070e0609

Aliases

arxiv: 1011.3323 · arxiv_version: 1011.3323v1 · doi: 10.48550/arxiv.1011.3323 · pith_short_12: SJPRW6XU4ATL · pith_short_16: SJPRW6XU4ATLGU34 · pith_short_8: SJPRW6XU

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/SJPRW6XU4ATLGU34HGB26E7LIJ \
  | 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: 925f1b7af4e026b3537c3983af13eb4273d4aec61a41b704064b0bc5070e0609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52bdc5235176fc4ce285dc88292ccc303591503e8f433c5e23a73ad44c01614b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-15T09:36:16Z",
    "title_canon_sha256": "661790c18695f9a159e454fa72a3a06d816960cbd3a4394f608d850e5add8bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3323",
    "kind": "arxiv",
    "version": 1
  }
}