Pith Number

pith:JFGH2HTW

pith:2016:JFGH2HTWVQJU6G22OKMFPS5ST4

not attested not anchored not stored refs pending

Analogues of the Ramanujan--Mordell Theorem

Ben Kane, Dongxi Ye, Shaun Cooper

arxiv:1605.06631 v1 · 2016-05-21 · 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{JFGH2HTWVQJU6G22OKMFPS5ST4}

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	2026-05-18T01:14:11.676651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

494c7d1e76ac134f1b5a729857cbb29f10bf02f224418fd92f3644d8aedf6808

Aliases

arxiv: 1605.06631 · arxiv_version: 1605.06631v1 · doi: 10.48550/arxiv.1605.06631 · pith_short_12: JFGH2HTWVQJU · pith_short_16: JFGH2HTWVQJU6G22 · pith_short_8: JFGH2HTW

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/JFGH2HTWVQJU6G22OKMFPS5ST4 \
  | 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: 494c7d1e76ac134f1b5a729857cbb29f10bf02f224418fd92f3644d8aedf6808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300a22625ef283516d5444c8c6d194cc06e68e68b95bde5dc1ea664286a9be98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-21T12:07:07Z",
    "title_canon_sha256": "63096a7cac1f991a2caf4b44ede3502c2166fc4a8a567d9d59724b60422a6aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06631",
    "kind": "arxiv",
    "version": 1
  }
}