Pith Number

pith:TFV3ZZQB

pith:2009:TFV3ZZQB2HQHJYKAPXHICBHFNH

not attested not anchored not stored refs pending

On the Brauer group of diagonal quartic surfaces

Alexei N. Skorobogatov, Evis Ieronymou, Yuri G. Zarhin

arxiv:0912.2865 v2 · 2009-12-15 · math.AG · 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{TFV3ZZQB2HQHJYKAPXHICBHFNH}

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	2026-05-18T02:58:02.553035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

996bbce601d1e074e1407dce8104e569fedb62b4ec88db2a76dce27713f5c695

Aliases

arxiv: 0912.2865 · arxiv_version: 0912.2865v2 · doi: 10.48550/arxiv.0912.2865 · pith_short_12: TFV3ZZQB2HQH · pith_short_16: TFV3ZZQB2HQHJYKA · pith_short_8: TFV3ZZQB

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/TFV3ZZQB2HQHJYKAPXHICBHFNH \
  | 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: 996bbce601d1e074e1407dce8104e569fedb62b4ec88db2a76dce27713f5c695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b25b0c27158cad19d0bf09b1d9604a1c6c77ee65f2fab2d18f89ca6fd46cfc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-15T12:29:47Z",
    "title_canon_sha256": "9a8682c71817604a5c4de9db7a46006faf37a665768c4c07bb7fe39abdfc730c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2865",
    "kind": "arxiv",
    "version": 2
  }
}