Pith Number

pith:FIC5E72W

pith:2012:FIC5E72WAK72IEZHJZS5VQNLYG

not attested not anchored not stored refs pending

Gluing derived equivalences together

Hideto Asashiba

arxiv:1204.0196 v3 · 2012-04-01 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIC5E72WAK72IEZHJZS5VQNLYG}

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	2026-05-18T03:41:29.404379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a05d27f5602bfa413274e65dac1abc1815631e66306a4a14ef0f8a5e07cad5e

Aliases

arxiv: 1204.0196 · arxiv_version: 1204.0196v3 · doi: 10.48550/arxiv.1204.0196 · pith_short_12: FIC5E72WAK72 · pith_short_16: FIC5E72WAK72IEZH · pith_short_8: FIC5E72W

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/FIC5E72WAK72IEZHJZS5VQNLYG \
  | 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: 2a05d27f5602bfa413274e65dac1abc1815631e66306a4a14ef0f8a5e07cad5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68548571935699a3a1ed055566b9cdc48ad09d375794fe003c850cd9a8831a45",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-01T11:01:22Z",
    "title_canon_sha256": "5b040d3a008b39fca60708976e7461ee2e0504489cc05873bcab69fc721ac077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0196",
    "kind": "arxiv",
    "version": 3
  }
}