Pith Number

pith:36A5XPLW

pith:2012:36A5XPLWZOPD5OKIZLW44IFKK3

not attested not anchored not stored refs pending

On the evaluation of modular polynomials

Andrew V. Sutherland

arxiv:1202.3985 v5 · 2012-02-17 · math.NT · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36A5XPLWZOPD5OKIZLW44IFKK3}

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	2026-05-18T02:40:18.980679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df81dbbd76cb9e3eb948caedce20aa56f86b4da18e05b09d792083a4b684e51c

Aliases

arxiv: 1202.3985 · arxiv_version: 1202.3985v5 · doi: 10.48550/arxiv.1202.3985 · pith_short_12: 36A5XPLWZOPD · pith_short_16: 36A5XPLWZOPD5OKI · pith_short_8: 36A5XPLW

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/36A5XPLWZOPD5OKIZLW44IFKK3 \
  | 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: df81dbbd76cb9e3eb948caedce20aa56f86b4da18e05b09d792083a4b684e51c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ae6349c8d2dba2fa4bbbb35e9766a68ca77945b366d7791856b9bc988f7d3c",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-17T18:21:33Z",
    "title_canon_sha256": "ed5236eb83479a9b53cd2bf76ee0fd4d041e4130d66163a6b2075828eb55fb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3985",
    "kind": "arxiv",
    "version": 5
  }
}