Pith Number

pith:FAZ7Q3VZ

pith:2012:FAZ7Q3VZGXWBWEVLBSFGTUXOB2

not attested not anchored not stored refs pending

A plug with infinite order and some exotic 4-manifolds

Motoo Tange

arxiv:1201.6000 v1 · 2012-01-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAZ7Q3VZGXWBWEVLBSFGTUXOB2}

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	2026-05-18T04:03:34.021772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2833f86eb935ec1b12ab0c8a69d2ee0e97bbc795fd8321dec0a46d6cd045dc97

Aliases

arxiv: 1201.6000 · arxiv_version: 1201.6000v1 · doi: 10.48550/arxiv.1201.6000 · pith_short_12: FAZ7Q3VZGXWB · pith_short_16: FAZ7Q3VZGXWBWEVL · pith_short_8: FAZ7Q3VZ

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/FAZ7Q3VZGXWBWEVLBSFGTUXOB2 \
  | 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: 2833f86eb935ec1b12ab0c8a69d2ee0e97bbc795fd8321dec0a46d6cd045dc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743445e7fa8e0cff2e293243486153d97e788ee2583d97a00b7b5517c6291326",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-28T23:05:53Z",
    "title_canon_sha256": "8aa3986c5668b028af3c9aaae3664957f73605c76fdcbab2d8fe7a6afe4bd164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6000",
    "kind": "arxiv",
    "version": 1
  }
}