Pith Number

pith:TJJL24EH

pith:2012:TJJL24EHOFP56IPXSHME2BJXFO

not attested not anchored not stored refs pending

Homological finiteness of abelian covers

Alexander I. Suciu, Gufang Zhao, Yaping Yang

arxiv:1204.4873 v3 · 2012-04-22 · math.GT · math.AG · 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{TJJL24EHOFP56IPXSHME2BJXFO}

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	2026-05-18T02:19:50.989473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a52bd7087715fdf21f791d84d05372b9b70eba03b9dfdfecfe918a6a7da54bb

Aliases

arxiv: 1204.4873 · arxiv_version: 1204.4873v3 · doi: 10.48550/arxiv.1204.4873 · pith_short_12: TJJL24EHOFP5 · pith_short_16: TJJL24EHOFP56IPX · pith_short_8: TJJL24EH

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/TJJL24EHOFP56IPXSHME2BJXFO \
  | 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: 9a52bd7087715fdf21f791d84d05372b9b70eba03b9dfdfecfe918a6a7da54bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ebc90ea6647183bcf53beaab9139a49b0fcfcda97c02e0683c8043d73b4a06",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-22T10:04:23Z",
    "title_canon_sha256": "75749124e35be55207a21bea4ad9a37928054dc1fdd579fad6f12f96e379e8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4873",
    "kind": "arxiv",
    "version": 3
  }
}