Pith Number

pith:JRH2IZHL

pith:2020:JRH2IZHLBGCFLDRJPMTG45F3GS

not attested not anchored not stored refs pending

Pfaffian control of some polynomials involving the $j$--function and Weierstrass elliptic functions

John Armitage

arxiv:2011.09382 v1 · 2020-11-18 · 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{JRH2IZHLBGCFLDRJPMTG45F3GS}

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	2026-07-05T01:52:43.482383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4fa464eb0984558e297b266e74bb3489b59ba80e205b5a502b164e7161f895

Aliases

arxiv: 2011.09382 · arxiv_version: 2011.09382v1 · doi: 10.48550/arxiv.2011.09382 · pith_short_12: JRH2IZHLBGCF · pith_short_16: JRH2IZHLBGCFLDRJ · pith_short_8: JRH2IZHL

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/JRH2IZHLBGCFLDRJPMTG45F3GS \
  | 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: 4c4fa464eb0984558e297b266e74bb3489b59ba80e205b5a502b164e7161f895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d69596d2c40adc03b7a4145909e8b1c657cde0ce286062c4d032d0d48dfdfa82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-18T16:27:01Z",
    "title_canon_sha256": "2b7bb9da98ce4942601bea0b6055358eb921d6d2bc187aeb31532b708ca11a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09382",
    "kind": "arxiv",
    "version": 1
  }
}