Pith Number

pith:GOKMS5MD

pith:2013:GOKMS5MDUDGC5NRGWM4BJUSBBZ

not attested not anchored not stored refs pending

An A(oo)-structure on the cohomology ring of the symmetric group Sp with coefficients in Fp

Stephan Schmid

arxiv:1302.0121 v1 · 2013-02-01 · 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{GOKMS5MDUDGC5NRGWM4BJUSBBZ}

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	2026-05-18T03:34:47.343786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3394c97583a0cc2eb626b33814d2410e625522a9eb8c71e372a1ab60542aaa21

Aliases

arxiv: 1302.0121 · arxiv_version: 1302.0121v1 · doi: 10.48550/arxiv.1302.0121 · pith_short_12: GOKMS5MDUDGC · pith_short_16: GOKMS5MDUDGC5NRG · pith_short_8: GOKMS5MD

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/GOKMS5MDUDGC5NRGWM4BJUSBBZ \
  | 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: 3394c97583a0cc2eb626b33814d2410e625522a9eb8c71e372a1ab60542aaa21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2da9085d8aea4ed88c8d81a9b281e8205b3a68461bae6e52df393db3190a7c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-01T10:03:20Z",
    "title_canon_sha256": "f4cb2d2f3f2bf3b742156f609435f9cabd4daa8ec5721ab4daed302f321731b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0121",
    "kind": "arxiv",
    "version": 1
  }
}