Pith Number

pith:AHHVRB3I

pith:2019:AHHVRB3I4X2OZWTP77FNOKZ5TG

not attested not anchored not stored refs pending

Some modular abelian surfaces

Alexandru Ghitza, Frank Calegari, Shiva Chidambaram

arxiv:1906.10939 v1 · 2019-06-26 · 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{AHHVRB3I4X2OZWTP77FNOKZ5TG}

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	2026-05-17T23:42:10.472252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01cf588768e5f4ecda6fffcad72b3d99b10896922932af6f2b52a1ef9ed8e4f1

Aliases

arxiv: 1906.10939 · arxiv_version: 1906.10939v1 · doi: 10.48550/arxiv.1906.10939 · pith_short_12: AHHVRB3I4X2O · pith_short_16: AHHVRB3I4X2OZWTP · pith_short_8: AHHVRB3I

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/AHHVRB3I4X2OZWTP77FNOKZ5TG \
  | 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: 01cf588768e5f4ecda6fffcad72b3d99b10896922932af6f2b52a1ef9ed8e4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c082e1795fd9f1407164d67a97ac95c2e17a34705f9ffa167dfb8a4e10ab7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-26T09:45:25Z",
    "title_canon_sha256": "5cbcfbfeaadd5e8c2a540b99c2b738aa98f7b7b69909b1bf822ad1f0a3453244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10939",
    "kind": "arxiv",
    "version": 1
  }
}