Pith Number

pith:3KQT2XND

pith:2017:3KQT2XND2WSO4QSHXWPHQ56D4R

not attested not anchored not stored refs pending

Character sums for elliptic curve densities

Julio Brau

arxiv:1703.04154 v1 · 2017-03-12 · 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{3KQT2XND2WSO4QSHXWPHQ56D4R}

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	2026-05-18T00:48:49.621785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa13d5da3d5a4ee4247bd9e7877c3e45e469c3f067255c0ec78fe540ead3003

Aliases

arxiv: 1703.04154 · arxiv_version: 1703.04154v1 · doi: 10.48550/arxiv.1703.04154 · pith_short_12: 3KQT2XND2WSO · pith_short_16: 3KQT2XND2WSO4QSH · pith_short_8: 3KQT2XND

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/3KQT2XND2WSO4QSHXWPHQ56D4R \
  | 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: daa13d5da3d5a4ee4247bd9e7877c3e45e469c3f067255c0ec78fe540ead3003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e24cfad9860feab9c04ab1439ccbf069176d46e88dc065a457bd22beb5437e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-12T18:10:33Z",
    "title_canon_sha256": "6f92a3b05e74c57c088c4813baf41b09746a978bdcbd8c26fa1fd2e35755404b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04154",
    "kind": "arxiv",
    "version": 1
  }
}