Pith Number

pith:IGK6O75A

pith:2014:IGK6O75AAFL5LMV2X2OYT3TICA

not attested not anchored not stored refs pending

Hall-Littlewood symmetric functions via Yamanouchi toppling game

Domenico Senato, Pasquale Petrullo, Robert Cori

arxiv:1412.0444 v1 · 2014-12-01 · 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{IGK6O75AAFL5LMV2X2OYT3TICA}

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	2026-05-18T02:32:23.305649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4195e77fa00157d5b2babe9d89ee68100eb1c47b47cd75b153a4d67f2792d7a3

Aliases

arxiv: 1412.0444 · arxiv_version: 1412.0444v1 · doi: 10.48550/arxiv.1412.0444 · pith_short_12: IGK6O75AAFL5 · pith_short_16: IGK6O75AAFL5LMV2 · pith_short_8: IGK6O75A

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/IGK6O75AAFL5LMV2X2OYT3TICA \
  | 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: 4195e77fa00157d5b2babe9d89ee68100eb1c47b47cd75b153a4d67f2792d7a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c95c7ec6c184288f1565d92ad30f46e622e69d73b2c302f67db378e0faad071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-01T12:05:48Z",
    "title_canon_sha256": "f0fcf383c21aa0f1fb3980ad183a1babda0e39950f1a24c9e26e91e1e9e1c452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0444",
    "kind": "arxiv",
    "version": 1
  }
}