Pith Number

pith:LIBZJMKO

pith:2018:LIBZJMKOCCCMSLDL7KIKYHMI7F

not attested not anchored not stored refs pending

Computing the endomorphism ring of an ordinary abelian surface over a finite field

Caleb Springer

arxiv:1810.12270 v2 · 2018-10-29 · 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{LIBZJMKOCCCMSLDL7KIKYHMI7F}

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	2026-05-17T23:56:14.564166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0394b14e1084c92c6bfa90ac1d88f977a785d6456e30d52bf0744de125944e

Aliases

arxiv: 1810.12270 · arxiv_version: 1810.12270v2 · doi: 10.48550/arxiv.1810.12270 · pith_short_12: LIBZJMKOCCCM · pith_short_16: LIBZJMKOCCCMSLDL · pith_short_8: LIBZJMKO

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/LIBZJMKOCCCMSLDL7KIKYHMI7F \
  | 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: 5a0394b14e1084c92c6bfa90ac1d88f977a785d6456e30d52bf0744de125944e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f146052882ef0c20c8778745fd6e06e9d1d72d05066cad3defacabf64b1f7268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-29T17:33:10Z",
    "title_canon_sha256": "f48e68a3fe08ac00a8e463278706a05af6bdf29da9e44cc9bc5497e50202a35a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.12270",
    "kind": "arxiv",
    "version": 2
  }
}