Pith Number

pith:JSZ7PNHI

pith:2019:JSZ7PNHICOQJNPW7E3OT4X5U6F

not attested not anchored not stored refs pending

The Extension Dimension of Abelian Categories

Junling Zheng, Xin Ma, Zhaoyong Huang

arxiv:1902.09176 v1 · 2019-02-25 · math.RT · 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{JSZ7PNHICOQJNPW7E3OT4X5U6F}

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	2026-05-17T23:52:46.477266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb3f7b4e813a096bedf26dd3e5fb4f14aaedfecf0aca64cf6e2249df645a9a8

Aliases

arxiv: 1902.09176 · arxiv_version: 1902.09176v1 · doi: 10.48550/arxiv.1902.09176 · pith_short_12: JSZ7PNHICOQJ · pith_short_16: JSZ7PNHICOQJNPW7 · pith_short_8: JSZ7PNHI

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/JSZ7PNHICOQJNPW7E3OT4X5U6F \
  | 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: 4cb3f7b4e813a096bedf26dd3e5fb4f14aaedfecf0aca64cf6e2249df645a9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c40f6a4126611ce9c19fd806465630b110978ab029e0ce80bf01e2af5d66a2f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-02-25T10:15:37Z",
    "title_canon_sha256": "d261aef81b562e32d63926330c221c7d3797f1fcbc9bedca5ad6401adc1682ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09176",
    "kind": "arxiv",
    "version": 1
  }
}