Pith Number

pith:UY7F3YNM

pith:2019:UY7F3YNMCXCBUELTJVSLXZN527

not attested not anchored not stored refs pending

A duality formula between elliptic determinants

Kohei Motegi

arxiv:1901.01352 v1 · 2019-01-05 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY7F3YNMCXCBUELTJVSLXZN527}

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	2026-05-17T23:56:52.148153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f

Aliases

arxiv: 1901.01352 · arxiv_version: 1901.01352v1 · doi: 10.48550/arxiv.1901.01352 · pith_short_12: UY7F3YNMCXCB · pith_short_16: UY7F3YNMCXCBUELT · pith_short_8: UY7F3YNM

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/UY7F3YNMCXCBUELTJVSLXZN527 \
  | 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: a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-05T01:59:41Z",
    "title_canon_sha256": "9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01352",
    "kind": "arxiv",
    "version": 1
  }
}