Pith Number

pith:UG2GLIPR

pith:2013:UG2GLIPRS73OYQN6VY72CTJGZ5

not attested not anchored not stored refs pending

Permutation patterns, Stanley symmetric functions and generalized Specht modules

Brendan Pawlowski, Sara Billey

arxiv:1304.7870 v2 · 2013-04-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UG2GLIPRS73OYQN6VY72CTJGZ5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:18:39.965827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1b465a1f197f6ec41beae3fa14d26cf773e2eaff816b0c20cf34d9464e06f0b

Aliases

arxiv: 1304.7870 · arxiv_version: 1304.7870v2 · doi: 10.48550/arxiv.1304.7870 · pith_short_12: UG2GLIPRS73O · pith_short_16: UG2GLIPRS73OYQN6 · pith_short_8: UG2GLIPR

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/UG2GLIPRS73OYQN6VY72CTJGZ5 \
  | 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: a1b465a1f197f6ec41beae3fa14d26cf773e2eaff816b0c20cf34d9464e06f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4247837d6b50bd384aced99bd084d2ca1158e47c558fccc9f31fb5931f66cc8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-30T04:30:19Z",
    "title_canon_sha256": "9c82eec67cfdabd806ad906f508ce99a6ac4c455ff84ecf6a767c3c0059f19c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7870",
    "kind": "arxiv",
    "version": 2
  }
}