Pith Number

pith:NXDDNMRG

pith:2017:NXDDNMRGVAL2X4K3WT5IPVW22P

not attested not anchored not stored refs pending

No transcendental Brauer-Manin obstructions on abelian varieties

Brendan Creutz

arxiv:1711.01541 v3 · 2017-11-05 · 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{NXDDNMRGVAL2X4K3WT5IPVW22P}

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	2026-05-18T00:17:30.591126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc636b226a817abf15bb4fa87d6dad3ddbf3393dc48b4eea6130bbd212384b9

Aliases

arxiv: 1711.01541 · arxiv_version: 1711.01541v3 · doi: 10.48550/arxiv.1711.01541 · pith_short_12: NXDDNMRGVAL2 · pith_short_16: NXDDNMRGVAL2X4K3 · pith_short_8: NXDDNMRG

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/NXDDNMRGVAL2X4K3WT5IPVW22P \
  | 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: 6dc636b226a817abf15bb4fa87d6dad3ddbf3393dc48b4eea6130bbd212384b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0afebd70da7bc9b44074caff08b311cf7e35defea3c7c8f3a55bd1b3a81e3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-05T06:38:08Z",
    "title_canon_sha256": "0389cb7c772d5fb9eb977b4ac96aa9d78de7a442027f55aa16b3fd26f40cdc5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01541",
    "kind": "arxiv",
    "version": 3
  }
}