Pith Number

pith:DEUGPLGZ

pith:2005:DEUGPLGZ3SDHNJ7DRNYRBLJUUT

not attested not anchored not stored refs pending

Phase space methods for particles on a circle

A. Vourdas, S. Zhang

arxiv:quant-ph/0504015 v1 · 2005-04-04 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEUGPLGZ3SDHNJ7DRNYRBLJUUT}

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	2026-07-04T16:57:32.346300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

192867acd9dc8676a7e38b7110ad34a4f500d703a57420d31a8ce586ed94af3d

Aliases

arxiv: quant-ph/0504015 · arxiv_version: quant-ph/0504015v1 · doi: 10.48550/arxiv.quant-ph/0504015 · pith_short_12: DEUGPLGZ3SDH · pith_short_16: DEUGPLGZ3SDHNJ7D · pith_short_8: DEUGPLGZ

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/DEUGPLGZ3SDHNJ7DRNYRBLJUUT \
  | 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: 192867acd9dc8676a7e38b7110ad34a4f500d703a57420d31a8ce586ed94af3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e591c1286ded35ec53edb3f4bb3849ebe08dce181a4738c3d6f7a2d2d450c76e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-04-04T08:46:22Z",
    "title_canon_sha256": "99940b02439620428ac7df67a4fadf6af4af0bf4a3d685e35b930e4dfe76de6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0504015",
    "kind": "arxiv",
    "version": 1
  }
}