Pith Number

pith:PBCL33MA

pith:2013:PBCL33MAYCJA55GLXW2NBP6EWJ

not attested not anchored not stored refs pending

Principes locaux-globaux pour certaines fibrations en torseurs sous un tore

Arne Smeets

arxiv:1305.0756 v3 · 2013-05-03 · 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{PBCL33MAYCJA55GLXW2NBP6EWJ}

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	2026-05-17T23:53:17.552624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7844bded80c0920ef4cbbdb4d0bfc4b24a08a72b09595e89ff4f515405b22c7c

Aliases

arxiv: 1305.0756 · arxiv_version: 1305.0756v3 · doi: 10.48550/arxiv.1305.0756 · pith_short_12: PBCL33MAYCJA · pith_short_16: PBCL33MAYCJA55GL · pith_short_8: PBCL33MA

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/PBCL33MAYCJA55GLXW2NBP6EWJ \
  | 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: 7844bded80c0920ef4cbbdb4d0bfc4b24a08a72b09595e89ff4f515405b22c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd3b391d3ed6dd7439aeb76f5f79b396239cda7a035e3fbc52a294454f99180",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-03T15:49:46Z",
    "title_canon_sha256": "0298d3230e64664c14652706d833ab65ca3044d16723047e70a9f453cd78ad83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0756",
    "kind": "arxiv",
    "version": 3
  }
}