Pith Number

pith:WUPOX5XZ

pith:2007:WUPOX5XZEGME5CD23EFLFFD45L

not attested not anchored not stored refs pending

Semiclassical wave propagation for large times

Roman Schubert

arxiv:0705.0134 v2 · 2007-05-01 · math-ph · math.AP · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUPOX5XZEGME5CD23EFLFFD45L}

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	2026-05-18T04:06:08.391907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51eebf6f921984e887ad90ab2947ceaf6d53895ffd250ba45f4392e134c81d7

Aliases

arxiv: 0705.0134 · arxiv_version: 0705.0134v2 · doi: 10.48550/arxiv.0705.0134 · pith_short_12: WUPOX5XZEGME · pith_short_16: WUPOX5XZEGME5CD2 · pith_short_8: WUPOX5XZ

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/WUPOX5XZEGME5CD23EFLFFD45L \
  | 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: b51eebf6f921984e887ad90ab2947ceaf6d53895ffd250ba45f4392e134c81d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff1f89c5b30525328f0ea173fa6cc93fac78e6093a3fd9782a67912256079ba",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-05-01T16:29:45Z",
    "title_canon_sha256": "b651f26f87bf8a608fac640cd01d086fa0897fd91b96a2624714cf6143146d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0134",
    "kind": "arxiv",
    "version": 2
  }
}