Pith Number

pith:24XIAE7P

pith:2011:24XIAE7PIUEVQCCR66QZ2G337A

not attested not anchored not stored refs pending

The rationality of quaternionic Darmon points over genus fields of real quadratic fields

M. Longo, S. Vigni

arxiv:1105.3721 v1 · 2011-05-18 · 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{24XIAE7PIUEVQCCR66QZ2G337A}

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	2026-05-18T04:21:52.003195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72e8013ef4509580851f7a19d1b7bf80604836f1bbe06e5a787b929bc07813f

Aliases

arxiv: 1105.3721 · arxiv_version: 1105.3721v1 · doi: 10.48550/arxiv.1105.3721 · pith_short_12: 24XIAE7PIUEV · pith_short_16: 24XIAE7PIUEVQCCR · pith_short_8: 24XIAE7P

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/24XIAE7PIUEVQCCR66QZ2G337A \
  | 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: d72e8013ef4509580851f7a19d1b7bf80604836f1bbe06e5a787b929bc07813f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b1d783ca90bb8180ed0d7d2e4949cb51395aa3136e62bb50c43bad7218492b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-18T19:44:47Z",
    "title_canon_sha256": "9956660153ca98285af6bb0dd8a4eb7d4ab45de623af364ee2c54cc05f7e4994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3721",
    "kind": "arxiv",
    "version": 1
  }
}