Pith Number

pith:6TJ4ZMQ3

pith:2000:6TJ4ZMQ3DEYK4TL33EWVATLRK6

not attested not anchored not stored refs pending

Stable identification of piecewise-constant potentials from fixed-energy phase shifts

Alexander G. Ramm, Semion Gutman

arxiv:math-ph/0010034 v1 · 2000-10-23 · math-ph · 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{6TJ4ZMQ3DEYK4TL33EWVATLRK6}

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	2026-05-18T01:05:32.141928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d3ccb21b1930ae4d7bd92d504d715794e783ef7a5bbf8b661ff557aa4f1a89

Aliases

arxiv: math-ph/0010034 · arxiv_version: math-ph/0010034v1 · doi: 10.48550/arxiv.math-ph/0010034 · pith_short_12: 6TJ4ZMQ3DEYK · pith_short_16: 6TJ4ZMQ3DEYK4TL3 · pith_short_8: 6TJ4ZMQ3

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/6TJ4ZMQ3DEYK4TL33EWVATLRK6 \
  | 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: f4d3ccb21b1930ae4d7bd92d504d715794e783ef7a5bbf8b661ff557aa4f1a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033c0358eea64f6fbdddd9cfbe2f8c5941e93f6ac1f837eab8e54d0f498b0b32",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-10-23T17:36:47Z",
    "title_canon_sha256": "64e1476e360c4f11eae153aa168cfcfa0bb7a7ac2de4c80515775acc4b1dc158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0010034",
    "kind": "arxiv",
    "version": 1
  }
}