Pith Number

pith:W4BY4FZK

pith:1999:W4BY4FZKDH6KY4AYC7LYJKAFRP

not attested not anchored not stored refs pending

An exact solution method for 1D polynomial Schr\"odinger equations

A. Voros (CEA/Saclay, France), SPhT

arxiv:math-ph/9902016 v1 · 1999-02-10 · math-ph · math.MP · math.SP · nlin.SI · quant-ph · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4BY4FZKDH6KY4AYC7LYJKAFRP}

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

Path integral analysis of Schr\"odinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states

Receipt and verification

First computed	2026-07-04T16:15:14.019500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7038e172a19fcac701817d784a8058bee3a03be0b1133531cafe386de9d6c46

Aliases

arxiv: math-ph/9902016 · arxiv_version: math-ph/9902016v1 · doi: 10.48550/arxiv.math-ph/9902016 · pith_short_12: W4BY4FZKDH6K · pith_short_16: W4BY4FZKDH6KY4AY · pith_short_8: W4BY4FZK

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/W4BY4FZKDH6KY4AYC7LYJKAFRP \
  | 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: b7038e172a19fcac701817d784a8058bee3a03be0b1133531cafe386de9d6c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5f23445c4fa567d37fdfa1b830611f1904c4f45d2bb2414bc13545a866b97e4",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "nlin.SI",
      "quant-ph",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-02-10T15:48:15Z",
    "title_canon_sha256": "5a7bb51e5a2e7cd930dea17ef5ff296108f44d0f193f2ac8c11a854b36f24bdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9902016",
    "kind": "arxiv",
    "version": 1
  }
}