Pith Number

pith:65ZQOXOG

pith:2011:65ZQOXOGTO6MWNQWFEEUWUU5BV

not attested not anchored not stored refs pending

Hooks generate the representation ring of the symmetric group

Ivan Marin

arxiv:1112.3127 v1 · 2011-12-14 · 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{65ZQOXOGTO6MWNQWFEEUWUU5BV}

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	2026-05-18T04:06:20.106191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f773075dc69bbccb361629094b529d0d790685af7cdf54ebc096a9d8f846f524

Aliases

arxiv: 1112.3127 · arxiv_version: 1112.3127v1 · doi: 10.48550/arxiv.1112.3127 · pith_short_12: 65ZQOXOGTO6M · pith_short_16: 65ZQOXOGTO6MWNQW · pith_short_8: 65ZQOXOG

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/65ZQOXOGTO6MWNQWFEEUWUU5BV \
  | 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: f773075dc69bbccb361629094b529d0d790685af7cdf54ebc096a9d8f846f524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97d141907674185d93b06600ec8ef1b81d88da56ceced7849cb42c63ff27b1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-14T06:09:53Z",
    "title_canon_sha256": "bf8454f1aa58bc845d2c47e087859271c4455afacea288f3949f10e848ff4b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3127",
    "kind": "arxiv",
    "version": 1
  }
}