Pith Number

pith:Z2WA7GJH

pith:2007:Z2WA7GJHNGHTDP35Y42TSADFNW

not attested not anchored not stored refs pending

Relative Brauer groups of genus 1 curves

Daniel Krashen, Mirela Ciperiani

arxiv:math/0701614 v4 · 2007-01-22 · math.NT · math.AG · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2WA7GJHNGHTDP35Y42TSADFNW}

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	2026-05-18T04:20:14.860372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceac0f9927698f31bf7dc7353900656d94ef5ba93b3672b42204c2af60e1607a

Aliases

arxiv: math/0701614 · arxiv_version: math/0701614v4 · doi: 10.48550/arxiv.math/0701614 · pith_short_12: Z2WA7GJHNGHT · pith_short_16: Z2WA7GJHNGHTDP35 · pith_short_8: Z2WA7GJH

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/Z2WA7GJHNGHTDP35Y42TSADFNW \
  | 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: ceac0f9927698f31bf7dc7353900656d94ef5ba93b3672b42204c2af60e1607a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000d0c5a656e2ac4bfed5688230a0a651c0932272a093ac1898d12470b08af56",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-01-22T15:36:30Z",
    "title_canon_sha256": "de60bf2c4282dddd2e1cd4587f87c1d35976ecdbf34ac5d86d1333291e7bd0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701614",
    "kind": "arxiv",
    "version": 4
  }
}