Pith Number

pith:5UGYUK2F

pith:2013:5UGYUK2FG67T34NHMRNHYOPOST

not attested not anchored not stored refs pending

Partitions with equal products and elliptic curves

Mohammad Sadek, Nermine El-Sissi

arxiv:1303.6705 v2 · 2013-03-26 · 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{5UGYUK2FG67T34NHMRNHYOPOST}

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	2026-05-18T02:16:48.232286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0d8a2b4537bf3df1a7645a7c39ee94c55f0bdaf9b16067b814413a091b27fe

Aliases

arxiv: 1303.6705 · arxiv_version: 1303.6705v2 · doi: 10.48550/arxiv.1303.6705 · pith_short_12: 5UGYUK2FG67T · pith_short_16: 5UGYUK2FG67T34NH · pith_short_8: 5UGYUK2F

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/5UGYUK2FG67T34NHMRNHYOPOST \
  | 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: ed0d8a2b4537bf3df1a7645a7c39ee94c55f0bdaf9b16067b814413a091b27fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bad54d55c34a997c87f36c46a4fcfb5cf6f9792fda1b8dcce7b189cbfa9a1ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-26T23:38:26Z",
    "title_canon_sha256": "52fa5266adf1f99f65915310193cf4cd52f6d7fcf315400cec29cb8105a72504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6705",
    "kind": "arxiv",
    "version": 2
  }
}