Pith Number

pith:QBBZMIOM

pith:2012:QBBZMIOMV4TQGUIH6HKREJDWJK

not attested not anchored not stored refs pending

Computing endomorphism rings of abelian varieties of dimension two

Gaetan Bisson

arxiv:1209.1189 v2 · 2012-09-06 · 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{QBBZMIOMV4TQGUIH6HKREJDWJK}

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	2026-05-18T03:10:26.889277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80439621ccaf27035107f1d51224764a892089a028391b8ff076f9fa1361f746

Aliases

arxiv: 1209.1189 · arxiv_version: 1209.1189v2 · doi: 10.48550/arxiv.1209.1189 · pith_short_12: QBBZMIOMV4TQ · pith_short_16: QBBZMIOMV4TQGUIH · pith_short_8: QBBZMIOM

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/QBBZMIOMV4TQGUIH6HKREJDWJK \
  | 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: 80439621ccaf27035107f1d51224764a892089a028391b8ff076f9fa1361f746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af40041280a9c60d8c03d63f8fa75482beaec56c3f566e4a3225a7a6b11a4d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-06T06:19:29Z",
    "title_canon_sha256": "198279ce519dd533c7ed7794d7391c594b26044c511d34cc4791e2ef346e5083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1189",
    "kind": "arxiv",
    "version": 2
  }
}