Pith Number

pith:6NP4JVAB

pith:2017:6NP4JVABHTF3CHWJZJ34B2XYEQ

not attested not anchored not stored refs pending

Degree and the Brauer-Manin obstruction

Bianca Viray (with an appendix by Alexei N. Skorobogatov), Brendan Creutz

arxiv:1703.02187 v3 · 2017-03-07 · 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{6NP4JVABHTF3CHWJZJ34B2XYEQ}

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	2026-05-17T23:54:11.873174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f35fc4d4013ccbb11ec9ca77c0eaf824095fb0b7bc2a2d45d7bec66acd7607b0

Aliases

arxiv: 1703.02187 · arxiv_version: 1703.02187v3 · doi: 10.48550/arxiv.1703.02187 · pith_short_12: 6NP4JVABHTF3 · pith_short_16: 6NP4JVABHTF3CHWJ · pith_short_8: 6NP4JVAB

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/6NP4JVABHTF3CHWJZJ34B2XYEQ \
  | 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: f35fc4d4013ccbb11ec9ca77c0eaf824095fb0b7bc2a2d45d7bec66acd7607b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530b20005f8d05eb6004b997fbcf5e3ccbc5ff3c1e7640526716df33b7bc3dd2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-07T02:49:55Z",
    "title_canon_sha256": "33181b1a1e67b1db2d8808222efef34fa640ac3ddea92387d4ae3078e47c1ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02187",
    "kind": "arxiv",
    "version": 3
  }
}