Pith Number

pith:YU3EU5T4

pith:2013:YU3EU5T46BXIN7RNWXEMMSDUDJ

not attested not anchored not stored refs pending

On Hall-Littlewood polynomials

R. Virk

arxiv:1309.2997 v1 · 2013-09-11 · 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{YU3EU5T46BXIN7RNWXEMMSDUDJ}

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	2026-05-18T03:13:33.149843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5364a767cf06e86fe2db5c8c648741a577b6baacd82e47551cc6ba992ba891d

Aliases

arxiv: 1309.2997 · arxiv_version: 1309.2997v1 · doi: 10.48550/arxiv.1309.2997 · pith_short_12: YU3EU5T46BXI · pith_short_16: YU3EU5T46BXIN7RN · pith_short_8: YU3EU5T4

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/YU3EU5T46BXIN7RNWXEMMSDUDJ \
  | 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: c5364a767cf06e86fe2db5c8c648741a577b6baacd82e47551cc6ba992ba891d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748e7fa4c8761e58b245171936dca4ceb7fe7e3c6c43463a3c5c65d3a3b9e16d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-11T22:58:34Z",
    "title_canon_sha256": "6acef2aa42a1976db177427883a5b4bca141c7ef7a520efacd5c4eb9f110a594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2997",
    "kind": "arxiv",
    "version": 1
  }
}