Pith Number

pith:3NEBIKRS

pith:2012:3NEBIKRSD7MCCMGC7JF4FJVW77

not attested not anchored not stored refs pending

Principally polarized abelian surfaces with surjective galois representations on l-torsion

Erik Wallace

arxiv:1212.3635 v2 · 2012-12-14 · 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{3NEBIKRSD7MCCMGC7JF4FJVW77}

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	2026-05-18T00:44:30.137009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db48142a321fd82130c2fa4bc2a6b6ffc58a251107d2b5f74372a436a20c2190

Aliases

arxiv: 1212.3635 · arxiv_version: 1212.3635v2 · doi: 10.48550/arxiv.1212.3635 · pith_short_12: 3NEBIKRSD7MC · pith_short_16: 3NEBIKRSD7MCCMGC · pith_short_8: 3NEBIKRS

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/3NEBIKRSD7MCCMGC7JF4FJVW77 \
  | 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: db48142a321fd82130c2fa4bc2a6b6ffc58a251107d2b5f74372a436a20c2190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e87df29e485fbc77e5d43e269f67104c60bec1a179bb9aef13e68a5c389f9f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-14T23:35:32Z",
    "title_canon_sha256": "db47f1b989d35505355244a4c439020a5989aae76964a4271758a6735aa7dde9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3635",
    "kind": "arxiv",
    "version": 2
  }
}