Pith Number

pith:GCOMZYXA

pith:2019:GCOMZYXAVP74TSGK34ZAGLKYAC

not attested not anchored not stored refs pending

Crystals, semistandard tableaux and cyclic sieving phenomenon

Euiyong Park, Young-Tak Oh

arxiv:1906.07420 v1 · 2019-06-18 · math.CO · 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{GCOMZYXAVP74TSGK34ZAGLKYAC}

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	2026-05-17T23:43:07.925613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309ccce2e0abffc9c8cadf32032d5800a7ed4ef6cb607a47b9c7ca25ddd213a3

Aliases

arxiv: 1906.07420 · arxiv_version: 1906.07420v1 · doi: 10.48550/arxiv.1906.07420 · pith_short_12: GCOMZYXAVP74 · pith_short_16: GCOMZYXAVP74TSGK · pith_short_8: GCOMZYXA

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/GCOMZYXAVP74TSGK34ZAGLKYAC \
  | 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: 309ccce2e0abffc9c8cadf32032d5800a7ed4ef6cb607a47b9c7ca25ddd213a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8f9c559c86bd26e82a83030706a0047285e04ad3b5a9eef6e512fb7964a1269",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-18T07:45:42Z",
    "title_canon_sha256": "80cdf974491f6d43e7d4b8e7448a59358b30e1d020ee406bf2126f0109e37111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07420",
    "kind": "arxiv",
    "version": 1
  }
}