Pith Number

pith:L5PFU4X5

pith:2019:L5PFU4X5VL2C7F5DI5N7RUYNXF

not attested not anchored not stored refs pending

Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms

Davide Lombardo, Edgar Costa, John Voight

arxiv:1906.02803 v2 · 2019-06-06 · 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{L5PFU4X5VL2C7F5DI5N7RUYNXF}

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	2026-07-05T01:45:58.886494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5e5a72fdaaf42f97a3475bf8d30db9779d1d1318a0b67a731e2a1670075d8c

Aliases

arxiv: 1906.02803 · arxiv_version: 1906.02803v2 · doi: 10.48550/arxiv.1906.02803 · pith_short_12: L5PFU4X5VL2C · pith_short_16: L5PFU4X5VL2C7F5D · pith_short_8: L5PFU4X5

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/L5PFU4X5VL2C7F5DI5N7RUYNXF \
  | 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: 5f5e5a72fdaaf42f97a3475bf8d30db9779d1d1318a0b67a731e2a1670075d8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfca479ca9372b23ec734c802c6a973f140693d26b6568e631d5b8cfbeb73658",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-06T20:44:10Z",
    "title_canon_sha256": "9a7c2e88ee42b5bc9aae2e9ad82d52a8617ad136a2cd729bb47fb85d2c603c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02803",
    "kind": "arxiv",
    "version": 2
  }
}