Pith Number

pith:CIZV5ZX4

pith:2003:CIZV5ZX4JR4QFMOUXTLSHKBUXX

not attested not anchored not stored refs pending

Perturbation expansions for a class of singular potentials

Attila B. von Keviczky, Nasser Saad, Richard L. Hall

arxiv:math-ph/0309067 v1 · 2003-09-30 · 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{CIZV5ZX4JR4QFMOUXTLSHKBUXX}

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	2026-05-18T01:38:33.703351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12335ee6fc4c7902b1d4bcd723a834bdd5c8b6d59987cb467255260a61681d4a

Aliases

arxiv: math-ph/0309067 · arxiv_version: math-ph/0309067v1 · doi: 10.48550/arxiv.math-ph/0309067 · pith_short_12: CIZV5ZX4JR4Q · pith_short_16: CIZV5ZX4JR4QFMOU · pith_short_8: CIZV5ZX4

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/CIZV5ZX4JR4QFMOUXTLSHKBUXX \
  | 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: 12335ee6fc4c7902b1d4bcd723a834bdd5c8b6d59987cb467255260a61681d4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337932870a312666626f618a9a3c01948b9e8c4842cb993ccec1365ce0f27448",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-09-30T19:28:54Z",
    "title_canon_sha256": "ba3ef487643bce9dc9b58d2b3c3f311fde10129f0b1969688b1d6a180729e504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0309067",
    "kind": "arxiv",
    "version": 1
  }
}