Pith Number

pith:T3BTCOYC

pith:2013:T3BTCOYCULWW25N5TFSEAI6MBI

not attested not anchored not stored refs pending

Strong approximation with Brauer-Manin obstruction for toric varieties

Fei Xu, Yang Cao

arxiv:1311.7655 v2 · 2013-11-29 · 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{T3BTCOYCULWW25N5TFSEAI6MBI}

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	2026-05-18T02:31:38.326456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec3313b02a2ed6d75bd99644023cc0a2ac5bc238f532db190db96c9282bdce3

Aliases

arxiv: 1311.7655 · arxiv_version: 1311.7655v2 · doi: 10.48550/arxiv.1311.7655 · pith_short_12: T3BTCOYCULWW · pith_short_16: T3BTCOYCULWW25N5 · pith_short_8: T3BTCOYC

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/T3BTCOYCULWW25N5TFSEAI6MBI \
  | 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: 9ec3313b02a2ed6d75bd99644023cc0a2ac5bc238f532db190db96c9282bdce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea01ab6308e3c93beb7b7d35fcfc6c40c4c9e99c168d1bd69bd8ea2faf28a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-29T18:15:00Z",
    "title_canon_sha256": "ce9b35c39f1ffa0b9f68d8def462f01aad44d9cc113632dbc425d743133344c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7655",
    "kind": "arxiv",
    "version": 2
  }
}