Pith Number

pith:OUGAGYXV

pith:2012:OUGAGYXVTRD7WOF7P45IW7HAWA

not attested not anchored not stored refs pending

Character sums determined by low degree isogenies of elliptic curves

Christopher Rasmussen, Dustin Moody

arxiv:1210.2743 v2 · 2012-10-09 · 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{OUGAGYXVTRD7WOF7P45IW7HAWA}

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	2026-05-18T03:34:13.840396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750c0362f59c47fb38bf7f3a8b7ce0b0157fb18f60e760e39c7aadad2fd43188

Aliases

arxiv: 1210.2743 · arxiv_version: 1210.2743v2 · doi: 10.48550/arxiv.1210.2743 · pith_short_12: OUGAGYXVTRD7 · pith_short_16: OUGAGYXVTRD7WOF7 · pith_short_8: OUGAGYXV

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/OUGAGYXVTRD7WOF7P45IW7HAWA \
  | 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: 750c0362f59c47fb38bf7f3a8b7ce0b0157fb18f60e760e39c7aadad2fd43188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1101bed33c18ed63630d1e60842194386568cae348470a3cc153d4131b429e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-09T20:28:13Z",
    "title_canon_sha256": "eb4aca24ce4455ebfdc7a8fb2f1853e694e400f15b9c897f93261be419a6f6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2743",
    "kind": "arxiv",
    "version": 2
  }
}