Pith Number

pith:UUGFSNOZ

pith:2013:UUGFSNOZMM6HG2UH3CA47GWE24

not attested not anchored not stored refs pending

A product formula for multivariate Rogers-Szeg\"o polynomials

C. Ryan Vinroot, Stephen Cameron

arxiv:1305.2404 v1 · 2013-05-10 · 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{UUGFSNOZMM6HG2UH3CA47GWE24}

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	2026-05-18T03:26:00.087154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a50c5935d9633c736a87d881cf9ac4d7316deebcec3da60aa37ea44ebdd02534

Aliases

arxiv: 1305.2404 · arxiv_version: 1305.2404v1 · doi: 10.48550/arxiv.1305.2404 · pith_short_12: UUGFSNOZMM6H · pith_short_16: UUGFSNOZMM6HG2UH · pith_short_8: UUGFSNOZ

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/UUGFSNOZMM6HG2UH3CA47GWE24 \
  | 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: a50c5935d9633c736a87d881cf9ac4d7316deebcec3da60aa37ea44ebdd02534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b0dcea94fc20ec0e87ab073e713074388c39a37412d16f5ce6edf83a0f49d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-10T18:32:57Z",
    "title_canon_sha256": "d642021ff6db0e3153079b11a19456994361217f5331426b024ba7fd4c414f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2404",
    "kind": "arxiv",
    "version": 1
  }
}