Pith Number

pith:ZEIWC5FL

pith:2015:ZEIWC5FLZQZE65UBCUX7P4ZDWB

not attested not anchored not stored refs pending

Stability of Gabor frames under small time Hamiltonian evolutions

Jos\'e Luis Romero, Karlheinz Gr\"ochenig, Maurice A. de Gosson

arxiv:1511.00121 v2 · 2015-10-31 · math-ph · math.CA · 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{ZEIWC5FLZQZE65UBCUX7P4ZDWB}

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	2026-05-18T00:56:31.543506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9116174abcc324f7681152ff7f323b06fbf82f1f3b48da4baf9b6db173cb386

Aliases

arxiv: 1511.00121 · arxiv_version: 1511.00121v2 · doi: 10.48550/arxiv.1511.00121 · pith_short_12: ZEIWC5FLZQZE · pith_short_16: ZEIWC5FLZQZE65UB · pith_short_8: ZEIWC5FL

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/ZEIWC5FLZQZE65UBCUX7P4ZDWB \
  | 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: c9116174abcc324f7681152ff7f323b06fbf82f1f3b48da4baf9b6db173cb386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d71ad9feb0692efc994cd8103936a1354e1112e2f0e9bd385f52ffe71871aa2",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-31T13:17:52Z",
    "title_canon_sha256": "494f1eff912d5ffedd2f44209ae237ca1034bb57f46abd4c4103cd227c885f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00121",
    "kind": "arxiv",
    "version": 2
  }
}