Pith Number

pith:SA2HFQAQ

pith:2015:SA2HFQAQAXERCX3I22KMXKKGBF

not attested not anchored not stored refs pending

Faltings heights of abelian varieties with complex multiplication

Benjamin Howard, Eyal Z. Goren, Fabrizio Andreatta, Keerthi Madapusi Pera

arxiv:1508.00178 v3 · 2015-08-02 · 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{SA2HFQAQAXERCX3I22KMXKKGBF}

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	2026-05-18T00:34:00.287839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903472c01005c9115f68d694cba94609602e0b0673e8113a0a3e2519729342f3

Aliases

arxiv: 1508.00178 · arxiv_version: 1508.00178v3 · doi: 10.48550/arxiv.1508.00178 · pith_short_12: SA2HFQAQAXER · pith_short_16: SA2HFQAQAXERCX3I · pith_short_8: SA2HFQAQ

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/SA2HFQAQAXERCX3I22KMXKKGBF \
  | 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: 903472c01005c9115f68d694cba94609602e0b0673e8113a0a3e2519729342f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d75b0b558c8f48659a6cfc96a5c03d2aca1c21818427d1630e7ec39412a774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-02T00:46:47Z",
    "title_canon_sha256": "f05344617a98554657a70cea865131cb903dbb7aabb63c407fba7f6549eb8ae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00178",
    "kind": "arxiv",
    "version": 3
  }
}