Pith Number

pith:GA7MUAFH

pith:2019:GA7MUAFHWQY53JVLHA76GD44XG

not attested not anchored not stored refs pending

Lectures on exceptional orthogonal polynomials and rational solutions to Painlev\'e equations

David G\'omez-Ullate, Robert Milson

arxiv:1912.07597 v1 · 2019-12-14 · math-ph · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GA7MUAFHWQY53JVLHA76GD44XG}

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.

Cited by

1 paper in Pith

Confining kinks. $\zeta$-regularized one-loop kink mass shifts in exotic field theories

Receipt and verification

First computed	2026-07-05T00:26:24.384737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303eca00a7b431dda6ab383fe30f9cb993f04ad90ebdbdd7b9928547e49425e1

Aliases

arxiv: 1912.07597 · arxiv_version: 1912.07597v1 · doi: 10.48550/arxiv.1912.07597 · pith_short_12: GA7MUAFHWQY5 · pith_short_16: GA7MUAFHWQY53JVL · pith_short_8: GA7MUAFH

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/GA7MUAFHWQY53JVLHA76GD44XG \
  | 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: 303eca00a7b431dda6ab383fe30f9cb993f04ad90ebdbdd7b9928547e49425e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791c2a96aa24bc80250d680211514d055044a35979edee37e9e2d1abe1d7fdc5",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-12-14T17:08:58Z",
    "title_canon_sha256": "d92f9240402e07b7580f890cca8b936b36b92b35faa3c2e87533d2e63d5675bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07597",
    "kind": "arxiv",
    "version": 1
  }
}