Pith Number

pith:VU5NBUS7

pith:2008:VU5NBUS7AI6U3GY4NDB5VVDDEL

not attested not anchored not stored refs pending

A basic set for the alternating group

Jean-Baptiste Gramain, Olivier Brunat

arxiv:0810.1840 v1 · 2008-10-10 · 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{VU5NBUS7AI6U3GY4NDB5VVDDEL}

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	2026-05-18T04:39:18.481684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3ad0d25f023d4d9b1c68c3dad46322cb66c72a1ee0b58bdedb84806e83f792

Aliases

arxiv: 0810.1840 · arxiv_version: 0810.1840v1 · doi: 10.48550/arxiv.0810.1840 · pith_short_12: VU5NBUS7AI6U · pith_short_16: VU5NBUS7AI6U3GY4 · pith_short_8: VU5NBUS7

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/VU5NBUS7AI6U3GY4NDB5VVDDEL \
  | 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: ad3ad0d25f023d4d9b1c68c3dad46322cb66c72a1ee0b58bdedb84806e83f792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b555cafede16c5f29bb2ff19b4eb339c6d9d4cde8b2a7b4becd9b26d94f05e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-10-10T09:54:36Z",
    "title_canon_sha256": "2ce1131b69fbe42ee063761aa1f79b703a1d4308cab622c6aa6562d2ec72f195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1840",
    "kind": "arxiv",
    "version": 1
  }
}