Pith Number

pith:U5ULV6FR

pith:2009:U5ULV6FRBYIJGJ2VGLAKNIPXTE

not attested not anchored not stored refs pending

Exceptional sequences and clusters

Kiyoshi Igusa, Ralf Schiffler

arxiv:0901.2590 v3 · 2009-01-16 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5ULV6FRBYIJGJ2VGLAKNIPXTE}

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	2026-05-18T03:45:51.922631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a768baf8b10e1093275532c0a6a1f7992c46578a3a39aa0ff04baa99eb682aa2

Aliases

arxiv: 0901.2590 · arxiv_version: 0901.2590v3 · doi: 10.48550/arxiv.0901.2590 · pith_short_12: U5ULV6FRBYIJ · pith_short_16: U5ULV6FRBYIJGJ2V · pith_short_8: U5ULV6FR

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/U5ULV6FRBYIJGJ2VGLAKNIPXTE \
  | 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: a768baf8b10e1093275532c0a6a1f7992c46578a3a39aa0ff04baa99eb682aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64f4e08731be05317287ef3a4795b2d13b54ad17bba115d86fe0d304c86b1b9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-01-16T22:38:24Z",
    "title_canon_sha256": "560c610aaa31fc596a54e008f92d6f03d2f85f1f6c0488c4cb5937993d628dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2590",
    "kind": "arxiv",
    "version": 3
  }
}