Pith Number

pith:TENYPO7N

pith:2011:TENYPO7NTAAX5SBSX7Y6VFY3ZV

not attested not anchored not stored refs pending

A three dimensional ball quotient

Eberhard Freitag, Riccardo Salvati Manni

arxiv:1201.0131 v1 · 2011-12-30 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TENYPO7NTAAX5SBSX7Y6VFY3ZV}

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	2026-05-18T04:05:26.065452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991b87bbed98017ec832bff1ea971bcd51784b1b29d546f854ff0507c4a436c2

Aliases

arxiv: 1201.0131 · arxiv_version: 1201.0131v1 · doi: 10.48550/arxiv.1201.0131 · pith_short_12: TENYPO7NTAAX · pith_short_16: TENYPO7NTAAX5SBS · pith_short_8: TENYPO7N

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/TENYPO7NTAAX5SBSX7Y6VFY3ZV \
  | 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: 991b87bbed98017ec832bff1ea971bcd51784b1b29d546f854ff0507c4a436c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd83d20730a1f2a49a9611c452e7c34f96ff3351f2a4820da5c00124fbede5fc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-30T14:24:14Z",
    "title_canon_sha256": "32e37fa074bbe8fca4a2041ecc3d9c4a5fde763b5fae357d60bf7fd2d2aeaf38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0131",
    "kind": "arxiv",
    "version": 1
  }
}