Pith Number

pith:PQPF6EJB

pith:2002:PQPF6EJBDEO5PXGES2ZP7H6RZ5

not attested not anchored not stored refs pending

Theory and application of Fermi pseudo-potential in one dimension

Ming Lun Yu, Tai Tsun Wu

arxiv:math-ph/0208030 v1 · 2002-08-21 · 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{PQPF6EJBDEO5PXGES2ZP7H6RZ5}

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	2026-05-18T01:38:34.113011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1e5f1121191dd7dcc496b2ff9fd1cf5248fb7c8d3988a951f85aa4272be213

Aliases

arxiv: math-ph/0208030 · arxiv_version: math-ph/0208030v1 · doi: 10.48550/arxiv.math-ph/0208030 · pith_short_12: PQPF6EJBDEO5 · pith_short_16: PQPF6EJBDEO5PXGE · pith_short_8: PQPF6EJB

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/PQPF6EJBDEO5PXGES2ZP7H6RZ5 \
  | 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: 7c1e5f1121191dd7dcc496b2ff9fd1cf5248fb7c8d3988a951f85aa4272be213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e841195e2e7bf38fc0dd1e98687e9fd81a91ec1f4be7d346977259e7261b306f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-08-21T15:30:39Z",
    "title_canon_sha256": "602570cddfc1e719e0595b6e327e7935acd6a5554cded5c3e3d48a9d837fba8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0208030",
    "kind": "arxiv",
    "version": 1
  }
}