Pith Number

pith:FOG3WFBV

pith:2014:FOG3WFBVGL4IBWS2FM57GDIF5L

not attested not anchored not stored refs pending

A fake plane via 2-adic uniformization with torsion

Daniel Allcock, Fumiharu Kato

arxiv:1411.1140 v1 · 2014-11-05 · 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{FOG3WFBVGL4IBWS2FM57GDIF5L}

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	2026-05-18T02:38:36.221430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8dbb143532f880da5a2b3bf30d05eaff34bf4578a481baeae033acb4a382f2

Aliases

arxiv: 1411.1140 · arxiv_version: 1411.1140v1 · doi: 10.48550/arxiv.1411.1140 · pith_short_12: FOG3WFBVGL4I · pith_short_16: FOG3WFBVGL4IBWS2 · pith_short_8: FOG3WFBV

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/FOG3WFBVGL4IBWS2FM57GDIF5L \
  | 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: 2b8dbb143532f880da5a2b3bf30d05eaff34bf4578a481baeae033acb4a382f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57aa8dac1b5089d4b01f136e9b140d248844740fd881a44df29d9d87cb79369b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-05T03:42:58Z",
    "title_canon_sha256": "aadba71f327669036ffb050f9db4ba4122ba6834d8aa2e718be4ed86f4c632db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1140",
    "kind": "arxiv",
    "version": 1
  }
}