Pith Number

pith:ESELNAI4

pith:2014:ESELNAI4JDG2MV4KDKOGU64XI5

not attested not anchored not stored refs pending

On the lattices from elliptic curves over finite fields

Min Sha

arxiv:1406.3086 v3 · 2014-06-12 · 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{ESELNAI4JDG2MV4KDKOGU64XI5}

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	2026-05-18T02:29:38.908942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2488b6811c48cda6578a1a9c6a7b97475179d4494e7e3b66ca15a1e2d0d35052

Aliases

arxiv: 1406.3086 · arxiv_version: 1406.3086v3 · doi: 10.48550/arxiv.1406.3086 · pith_short_12: ESELNAI4JDG2 · pith_short_16: ESELNAI4JDG2MV4K · pith_short_8: ESELNAI4

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/ESELNAI4JDG2MV4KDKOGU64XI5 \
  | 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: 2488b6811c48cda6578a1a9c6a7b97475179d4494e7e3b66ca15a1e2d0d35052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57037e5378f6a0cb04cea873b05585faaf0d086750889571766e5b0cbf2162ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-12T00:09:38Z",
    "title_canon_sha256": "3691b40ee83642efc9819662b6fd254cb1acd1339e7bcc292a21784115f3d5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3086",
    "kind": "arxiv",
    "version": 3
  }
}