Pith Number

pith:5GOBXABQ

pith:2011:5GOBXABQ3LNCUDTQB3V2RKZ7VI

not attested not anchored not stored refs pending

The Young bouquet and its boundary

Alexei Borodin, Grigori Olshanski

arxiv:1110.4458 v1 · 2011-10-20 · math.RT · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GOBXABQ3LNCUDTQB3V2RKZ7VI}

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	2026-05-18T03:09:23.177931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e99c1b8030dada2a0e700eeba8ab3faa3ffedd7810093323f9714386b80f240e

Aliases

arxiv: 1110.4458 · arxiv_version: 1110.4458v1 · doi: 10.48550/arxiv.1110.4458 · pith_short_12: 5GOBXABQ3LNC · pith_short_16: 5GOBXABQ3LNCUDTQ · pith_short_8: 5GOBXABQ

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/5GOBXABQ3LNCUDTQB3V2RKZ7VI \
  | 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: e99c1b8030dada2a0e700eeba8ab3faa3ffedd7810093323f9714386b80f240e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8aec8f3054d72b8cf3e905c31584610e30d6c23abe18d807737e414dbca75f",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-20T06:38:12Z",
    "title_canon_sha256": "f1f7e056393f768056359b989fc7a8ba0453dad398e90d022add2b97040fd20f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4458",
    "kind": "arxiv",
    "version": 1
  }
}