Pith Number

pith:L2ZCNHW3

pith:1998:L2ZCNHW3VES2LBB34MWB2FAQ7E

not attested not anchored not stored refs pending

Lattice Diagram Polynomials and Extended Pieri Rules

A. M. Garsia, F. Bergeron, G. Tesler, M. Haiman, N. Bergeron

arxiv:math/9809126 v1 · 1998-09-22 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2ZCNHW3VES2LBB34MWB2FAQ7E}

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	2026-05-18T01:00:03.377616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb2269edba925a5843be32c1d1410f91c54005c6207183e97f95c274f2a6f95

Aliases

arxiv: math/9809126 · arxiv_version: math/9809126v1 · doi: 10.48550/arxiv.math/9809126 · pith_short_12: L2ZCNHW3VES2 · pith_short_16: L2ZCNHW3VES2LBB3 · pith_short_8: L2ZCNHW3

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/L2ZCNHW3VES2LBB34MWB2FAQ7E \
  | 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: 5eb2269edba925a5843be32c1d1410f91c54005c6207183e97f95c274f2a6f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903f422deb7fcfe3a16732245c3627afb155ee8283f655af4d4962d24aec0039",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1998-09-22T16:29:06Z",
    "title_canon_sha256": "aaded4ef9b26e9cb319469327f4d999fe47ac1d74437561c680f57c37050e1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809126",
    "kind": "arxiv",
    "version": 1
  }
}