Pith Number

pith:TQXJW23W

pith:2013:TQXJW23WEC2QOJPOTTO2EBAWDQ

not attested not anchored not stored refs pending

A local-global principle for isogenies of prime degree over number fields

Samuele Anni

arxiv:1303.3809 v2 · 2013-03-15 · 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{TQXJW23WEC2QOJPOTTO2EBAWDQ}

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	2026-05-18T00:44:29.947577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2e9b6b7620b50725ee9cdda204161c2f5503cda8110ad5cbdaf890d0ca23a3

Aliases

arxiv: 1303.3809 · arxiv_version: 1303.3809v2 · doi: 10.48550/arxiv.1303.3809 · pith_short_12: TQXJW23WEC2Q · pith_short_16: TQXJW23WEC2QOJPO · pith_short_8: TQXJW23W

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/TQXJW23WEC2QOJPOTTO2EBAWDQ \
  | 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: 9c2e9b6b7620b50725ee9cdda204161c2f5503cda8110ad5cbdaf890d0ca23a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d736e5e10e8f91a83828cbdd5fcfb7b7037a2bcee8a734911da2d0bbf0b6103",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-15T15:36:35Z",
    "title_canon_sha256": "9fa9ecdadf6614f734f61d86de187648ed21d3af83fc2b427bbb4930b236e8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3809",
    "kind": "arxiv",
    "version": 2
  }
}