Pith Number

pith:UWWCBNP7

pith:1999:UWWCBNP7PNLEN2E4VUOYX6442E

not attested not anchored not stored refs pending

A Free Particle on a Circle with Point Interaction

Izumi Tsutsui, Tamas Fulop

arxiv:quant-ph/9910062 v1 · 1999-10-14 · quant-ph · 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{UWWCBNP7PNLEN2E4VUOYX6442E}

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	2026-05-18T01:37:52.255706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ac20b5ff7b5646e89cad1d8bfb9cd1143722c9de31b97cb8fdfd038493a148

Aliases

arxiv: quant-ph/9910062 · arxiv_version: quant-ph/9910062v1 · doi: 10.48550/arxiv.quant-ph/9910062 · pith_short_12: UWWCBNP7PNLE · pith_short_16: UWWCBNP7PNLEN2E4 · pith_short_8: UWWCBNP7

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/UWWCBNP7PNLEN2E4VUOYX6442E \
  | 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: a5ac20b5ff7b5646e89cad1d8bfb9cd1143722c9de31b97cb8fdfd038493a148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0359ce2127cb40552fbd2e0dd5ef699901a3f6b110678789539d977c46b0df55",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-10-14T11:34:26Z",
    "title_canon_sha256": "94c84340f8e8e6c06f2d0dd61c75d68a908bb728f43a33cf653a6c08efda32cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9910062",
    "kind": "arxiv",
    "version": 1
  }
}