Pith Number

pith:JLDXLYSV

pith:2016:JLDXLYSVSP5Z3Z6V4JVYGMIBRM

not attested not anchored not stored refs pending

Hall polynomials, inverse Kostka polynomials and puzzles

Michael Wheeler, Paul Zinn-Justin

arxiv:1603.01815 v1 · 2016-03-06 · math-ph · math.CO · math.MP · 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{JLDXLYSVSP5Z3Z6V4JVYGMIBRM}

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	2026-05-18T01:19:33.591276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac775e25593fb9de7d5e26b8331018b161596011e083a458517f19d4a991a64

Aliases

arxiv: 1603.01815 · arxiv_version: 1603.01815v1 · doi: 10.48550/arxiv.1603.01815 · pith_short_12: JLDXLYSVSP5Z · pith_short_16: JLDXLYSVSP5Z3Z6V · pith_short_8: JLDXLYSV

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/JLDXLYSVSP5Z3Z6V4JVYGMIBRM \
  | 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: 4ac775e25593fb9de7d5e26b8331018b161596011e083a458517f19d4a991a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe7d8a815d361116f441beb51d5bada688caeeabf9e777cba2246c1012b9072",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-06T10:31:23Z",
    "title_canon_sha256": "f1cddc5816c3aae26df1249f70ea9c61b1d43d5acb2c93981921f365a0e4e869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01815",
    "kind": "arxiv",
    "version": 1
  }
}