Pith Number

pith:UZBROVBQ

pith:2012:UZBROVBQ54DINI2IFZREKHGUMM

not attested not anchored not stored refs pending

Trivial points on towers of curves

Xavier Xarles

arxiv:1201.2567 v1 · 2012-01-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZBROVBQ54DINI2IFZREKHGUMM}

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	2026-05-18T04:04:44.116683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a643175430ef0686a3482e62451cd4631d37bae2d86c5ed3fd6198875c1db561

Aliases

arxiv: 1201.2567 · arxiv_version: 1201.2567v1 · doi: 10.48550/arxiv.1201.2567 · pith_short_12: UZBROVBQ54DI · pith_short_16: UZBROVBQ54DINI2I · pith_short_8: UZBROVBQ

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/UZBROVBQ54DINI2IFZREKHGUMM \
  | 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: a643175430ef0686a3482e62451cd4631d37bae2d86c5ed3fd6198875c1db561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13788c862cd6168054765ba36178bbe69af17ee4b08a1d147d49bd65d222f0a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-12T14:04:26Z",
    "title_canon_sha256": "f836ea1cd264c8c368ffba944b8f230c416d64eb6e37939c50bfb4766b4d90ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2567",
    "kind": "arxiv",
    "version": 1
  }
}