Pith Number

pith:YDQVQZCG

pith:2008:YDQVQZCG2OV4IVOMAQBVQASZEZ

not attested not anchored not stored refs pending

Comultiplication rules for the double Schur functions and Cauchy identities

A. I. Molev

arxiv:0807.2127 v3 · 2008-07-14 · 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{YDQVQZCG2OV4IVOMAQBVQASZEZ}

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	2026-05-18T04:38:51.026126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e1586446d3abc455cc0403580259267519253433fc4b79ce364661c58ce6f2

Aliases

arxiv: 0807.2127 · arxiv_version: 0807.2127v3 · doi: 10.48550/arxiv.0807.2127 · pith_short_12: YDQVQZCG2OV4 · pith_short_16: YDQVQZCG2OV4IVOM · pith_short_8: YDQVQZCG

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/YDQVQZCG2OV4IVOMAQBVQASZEZ \
  | 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: c0e1586446d3abc455cc0403580259267519253433fc4b79ce364661c58ce6f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09db64ec89df26eeb1fbbfd5ce137ab2e5d589f10674e21812e7fc88adf6965e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-07-14T10:55:00Z",
    "title_canon_sha256": "53f6a7791f305824e695669b0e41f1f7fcb6d63f754768fc0f2d353d3514232a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2127",
    "kind": "arxiv",
    "version": 3
  }
}