Pith Number

pith:NVNO3QPO

pith:2012:NVNO3QPOXJMZKD7K7Z47VXNWDX

not attested not anchored not stored refs pending

Contre-exemples au principe de Hasse pour certains tores coflasques

R. de la Bret\`eche, T. D. Browning

arxiv:1210.4236 v1 · 2012-10-16 · 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{NVNO3QPOXJMZKD7K7Z47VXNWDX}

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	2026-05-18T03:43:06.556424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d5aedc1eeba59950feafe79faddb61dfd48443295106dfa56dd3d18158baf8d

Aliases

arxiv: 1210.4236 · arxiv_version: 1210.4236v1 · doi: 10.48550/arxiv.1210.4236 · pith_short_12: NVNO3QPOXJMZ · pith_short_16: NVNO3QPOXJMZKD7K · pith_short_8: NVNO3QPO

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/NVNO3QPOXJMZKD7K7Z47VXNWDX \
  | 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: 6d5aedc1eeba59950feafe79faddb61dfd48443295106dfa56dd3d18158baf8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b18020a398e1d98aa1e843f240df6ff678351c0f07c14ed283ab402e9323ed",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-16T02:49:22Z",
    "title_canon_sha256": "9f2a384960293dc581471cfa9a5629ee0add1764638add317c9242a141de0f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4236",
    "kind": "arxiv",
    "version": 1
  }
}