Pith Number

pith:2ZZ6N2KT

pith:2017:2ZZ6N2KTKNLMHWMQX24DSQKXBA

not attested not anchored not stored refs pending

Integral Frobenius for Abelian Varieties with Real Multiplication

Christian Theisen, Tommaso Giorgio Centeleghe

arxiv:1709.08192 v1 · 2017-09-24 · 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{2ZZ6N2KTKNLMHWMQX24DSQKXBA}

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	2026-05-18T00:34:27.731682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d673e6e9535356c3d990beb8394157082b9422500fa1043781cd76a4b9b4efb0

Aliases

arxiv: 1709.08192 · arxiv_version: 1709.08192v1 · doi: 10.48550/arxiv.1709.08192 · pith_short_12: 2ZZ6N2KTKNLM · pith_short_16: 2ZZ6N2KTKNLMHWMQ · pith_short_8: 2ZZ6N2KT

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/2ZZ6N2KTKNLMHWMQX24DSQKXBA \
  | 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: d673e6e9535356c3d990beb8394157082b9422500fa1043781cd76a4b9b4efb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e12a6351610488b428c050224c66d1f3ddae0d8baa8820cacb3dde334b253c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-24T12:53:58Z",
    "title_canon_sha256": "b870cb0162d249a34cd9dea01232318f579a6ae53793f59ec67726fb52deaad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08192",
    "kind": "arxiv",
    "version": 1
  }
}