Pith Number

pith:CQ2564F6

pith:2010:CQ2564F6DYSNXBKTLD5INUENPY

not attested not anchored not stored refs pending

Good reduction of the Brauer-Manin obstruction

A. N. Skorobogatov, J.-L. Colliot-Th\'el\`ene

arxiv:1009.0247 v1 · 2010-09-01 · 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{CQ2564F6DYSNXBKTLD5INUENPY}

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	2026-05-18T04:08:45.479336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1435df70be1e24db855358fa86d08d7e011528da52464dc974332265e11fba9d

Aliases

arxiv: 1009.0247 · arxiv_version: 1009.0247v1 · doi: 10.48550/arxiv.1009.0247 · pith_short_12: CQ2564F6DYSN · pith_short_16: CQ2564F6DYSNXBKT · pith_short_8: CQ2564F6

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/CQ2564F6DYSNXBKTLD5INUENPY \
  | 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: 1435df70be1e24db855358fa86d08d7e011528da52464dc974332265e11fba9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce20ee5501f0f09b1a8e692362e063142e45bfb51be93e98b2d72e645957df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-01T19:04:13Z",
    "title_canon_sha256": "23d30d54203a9d84d82af0fb543c2b7ec1d96057762ff853c539b078d98deaf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0247",
    "kind": "arxiv",
    "version": 1
  }
}