Pith Number

pith:WS65WTWE

pith:2006:WS65WTWESEWOS6EOPPYUHGAKUJ

not attested not anchored not stored refs pending

Time asymptotics of the Schroedinger wave function in time-periodic potentials

J. L. Lebowitz, O. Costin, R. D. Costin

arxiv:math-ph/0608030 v1 · 2006-08-13 · 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{WS65WTWESEWOS6EOPPYUHGAKUJ}

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	2026-05-18T01:38:32.681629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4bddb4ec4912ce9788e7bf143980aa254086b30395e0e25ba06b3e32c45c6b8

Aliases

arxiv: math-ph/0608030 · arxiv_version: math-ph/0608030v1 · doi: 10.48550/arxiv.math-ph/0608030 · pith_short_12: WS65WTWESEWO · pith_short_16: WS65WTWESEWOS6EO · pith_short_8: WS65WTWE

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/WS65WTWESEWOS6EOPPYUHGAKUJ \
  | 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: b4bddb4ec4912ce9788e7bf143980aa254086b30395e0e25ba06b3e32c45c6b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcab05c728572ae4b3165736211eb95d68576ddbc351848c10e1f3391a4a4f54",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-08-13T13:14:07Z",
    "title_canon_sha256": "5e55ce5bc5d4e15277756e6422e176d7bf94d0c6fe53f21f174429ae6cfbe034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0608030",
    "kind": "arxiv",
    "version": 1
  }
}