Pith Number

pith:PS4F63OV

pith:2012:PS4F63OVUK2DVR645TWXAZRMHE

not attested not anchored not stored refs pending

Potentials of the Heun class

Davide Batic, Marek Nowakowski, Runako Williams

arxiv:1212.0448 v1 · 2012-12-03 · math-ph · hep-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{PS4F63OVUK2DVR645TWXAZRMHE}

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	2026-05-18T01:52:48.292757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb85f6dd5a2b43ac7dceced70662c391517693f9a1f1d7dcf613553197d2685

Aliases

arxiv: 1212.0448 · arxiv_version: 1212.0448v1 · doi: 10.48550/arxiv.1212.0448 · pith_short_12: PS4F63OVUK2D · pith_short_16: PS4F63OVUK2DVR64 · pith_short_8: PS4F63OV

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/PS4F63OVUK2DVR645TWXAZRMHE \
  | 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: 7cb85f6dd5a2b43ac7dceced70662c391517693f9a1f1d7dcf613553197d2685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3409bd9179a9807225325477470a1f51d579355b9f21d4d03ef7af83d9df278",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-03T16:54:27Z",
    "title_canon_sha256": "956c67b80fe5290304fc40c7c776b27bb9bd7bbc2ec4b0c425b814291fc94dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0448",
    "kind": "arxiv",
    "version": 1
  }
}