Pith Number

pith:IVOPCTYS

pith:2013:IVOPCTYS63CCGMMRPZ3IWQ7NXZ

not attested not anchored not stored refs pending

The Arithmetic of Curves Defined by Iteration

Wade Hindes

arxiv:1305.0222 v3 · 2013-05-01 · 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{IVOPCTYS63CCGMMRPZ3IWQ7NXZ}

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	2026-05-18T02:52:42.117752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455cf14f12f6c42331917e768b43edbe6bbe52b913fc05c9fb699ca94ca62e37

Aliases

arxiv: 1305.0222 · arxiv_version: 1305.0222v3 · doi: 10.48550/arxiv.1305.0222 · pith_short_12: IVOPCTYS63CC · pith_short_16: IVOPCTYS63CCGMMR · pith_short_8: IVOPCTYS

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/IVOPCTYS63CCGMMRPZ3IWQ7NXZ \
  | 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: 455cf14f12f6c42331917e768b43edbe6bbe52b913fc05c9fb699ca94ca62e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03ef0deb30ec58538ca7d282c6bf04bacd169a2a912f09f93daf5bf82dc3ea98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-01T16:47:36Z",
    "title_canon_sha256": "d7b3b70ab0e0ac7148ba22fa8a31fc13b36b2c532b98d90030916e1312e7ca35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0222",
    "kind": "arxiv",
    "version": 3
  }
}