Pith Number

pith:7T3P3VKT

pith:2012:7T3P3VKTJTKEJ7PAZH5HS5TS6H

not attested not anchored not stored refs pending

Dimensions of triangulated categories with respect to subcategories

Michio Yoshiwaki, Osamu Iyama, Ryo Takahashi, Takuma Aihara, Tokuji Araya

arxiv:1204.6421 v2 · 2012-04-28 · math.RT · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7T3P3VKTJTKEJ7PAZH5HS5TS6H}

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	2026-05-18T03:11:58.239325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf6fdd5534cd444fde0c9fa797672f1cec6d963ada4d48fd0c0bf8d64f3b281

Aliases

arxiv: 1204.6421 · arxiv_version: 1204.6421v2 · doi: 10.48550/arxiv.1204.6421 · pith_short_12: 7T3P3VKTJTKE · pith_short_16: 7T3P3VKTJTKEJ7PA · pith_short_8: 7T3P3VKT

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/7T3P3VKTJTKEJ7PAZH5HS5TS6H \
  | 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: fcf6fdd5534cd444fde0c9fa797672f1cec6d963ada4d48fd0c0bf8d64f3b281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb02c058788310c29096274fe5005270a211262e51ff8abe6ee3951db7037879",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-28T16:56:37Z",
    "title_canon_sha256": "61adccb93152860f5ffc1546d27f614d521dfbe2b4f5aed4dc1e2d3e22b9e5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6421",
    "kind": "arxiv",
    "version": 2
  }
}