Pith Number

pith:OEA2KZFZ

pith:2019:OEA2KZFZGEQIXEXYKMGFUIXC7X

not attested not anchored not stored refs pending

Heights and isogenies of Drinfeld modules

Fabien Pazuki, Florian Breuer, Mahefason Heriniaina Razafinjatovo

arxiv:1908.03485 v2 · 2019-08-09 · 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{OEA2KZFZGEQIXEXYKMGFUIXC7X}

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	2026-07-05T00:35:19.434797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7101a564b931208b92f8530c5a22e2fdc2c10327246c1ec8872b268d384616ee

Aliases

arxiv: 1908.03485 · arxiv_version: 1908.03485v2 · doi: 10.48550/arxiv.1908.03485 · pith_short_12: OEA2KZFZGEQI · pith_short_16: OEA2KZFZGEQIXEXY · pith_short_8: OEA2KZFZ

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/OEA2KZFZGEQIXEXYKMGFUIXC7X \
  | 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: 7101a564b931208b92f8530c5a22e2fdc2c10327246c1ec8872b268d384616ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11c086cc9441d8e2bebf93ea8f0cd9194b1170fa543584a07dfa031f14281884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-09T14:57:55Z",
    "title_canon_sha256": "a637ac6632098404c7aa1c393afb759456a43a1550dbd8b59b9b0d5f18411d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03485",
    "kind": "arxiv",
    "version": 2
  }
}