Pith Number

pith:OU42WAYV

pith:2010:OU42WAYVT2KBJ47D5DAXN64CUA

not attested not anchored not stored refs pending

Algebraic analysis of minimal representations

Toshiyuki Kobayashi

arxiv:1001.0224 v1 · 2010-01-01 · math.RT · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OU42WAYVT2KBJ47D5DAXN64CUA}

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	2026-05-18T04:12:21.313182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7539ab03159e9414f3e3e8c176fb82a003a66e3582ede3f700ef3cf76f53e023

Aliases

arxiv: 1001.0224 · arxiv_version: 1001.0224v1 · doi: 10.48550/arxiv.1001.0224 · pith_short_12: OU42WAYVT2KB · pith_short_16: OU42WAYVT2KBJ47D · pith_short_8: OU42WAYV

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/OU42WAYVT2KBJ47D5DAXN64CUA \
  | 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: 7539ab03159e9414f3e3e8c176fb82a003a66e3582ede3f700ef3cf76f53e023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f49599eeba8a7501e64ba2a15ba31b1e0ccfeeb9ec5cf2024069a8307021da22",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-01-01T11:10:35Z",
    "title_canon_sha256": "d17198ed107ef737af92a20ae37b2a8ed130885fb2acbed6e108c224e0bf8f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0224",
    "kind": "arxiv",
    "version": 1
  }
}