Pith Number

pith:U73TY57G

pith:2000:U73TY57GS3ASEOHB242WDY22QT

not attested not anchored not stored refs pending

Piecewise-constant potentials with practically the same fixed-energy phase shifts

Alexander G. Ramm, Semion Gutman

arxiv:math-ph/0010033 v1 · 2000-10-23 · math-ph · cs.NA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U73TY57GS3ASEOHB242WDY22QT}

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	2026-06-03T22:06:14.099555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f73c77e696c12238e1d73561e35a84c628a3618a9122e8753c330622158588

Aliases

arxiv: math-ph/0010033 · arxiv_version: math-ph/0010033v1 · doi: 10.48550/arxiv.math-ph/0010033 · pith_short_12: U73TY57GS3AS · pith_short_16: U73TY57GS3ASEOHB · pith_short_8: U73TY57G

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/U73TY57GS3ASEOHB242WDY22QT \
  | 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: a7f73c77e696c12238e1d73561e35a84c628a3618a9122e8753c330622158588

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8177e3428fa99e24c6110f93ed14db1370fa7dc5263000cb02b39d89f4acf211",
    "cross_cats_sorted": [
      "cs.NA",
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-10-23T17:09:30Z",
    "title_canon_sha256": "6e790c4f2122417bc01228096a6dcd1238b8452ae9f1f0a2abc7b58fe3dd4aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0010033",
    "kind": "arxiv",
    "version": 1
  }
}