Pith Number

pith:7PH7JOZA

pith:2016:7PH7JOZAVHGRQNCD5S3D2K5IVR

not attested not anchored not stored refs pending

Ordinary reductions of abelian varieties

Kirti Joshi

arxiv:1603.09407 v1 · 2016-03-30 · 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{7PH7JOZAVHGRQNCD5S3D2K5IVR}

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	2026-05-18T01:17:58.711685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcff4bb20a9cd183443ecb63d2ba8ac78d7161b51ca08156dad80bef661239b

Aliases

arxiv: 1603.09407 · arxiv_version: 1603.09407v1 · doi: 10.48550/arxiv.1603.09407 · pith_short_12: 7PH7JOZAVHGR · pith_short_16: 7PH7JOZAVHGRQNCD · pith_short_8: 7PH7JOZA

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/7PH7JOZAVHGRQNCD5S3D2K5IVR \
  | 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: fbcff4bb20a9cd183443ecb63d2ba8ac78d7161b51ca08156dad80bef661239b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27cc5941245b26b545785b89b4c69a3a144919d6d42046be770fc50a71209b2b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T22:45:40Z",
    "title_canon_sha256": "285f5b27618582abb325a9ada16ea40b5f3264ba1c334d790928f236d952a5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09407",
    "kind": "arxiv",
    "version": 1
  }
}