Pith Number

pith:Z75SQRVY

pith:2026:Z75SQRVYJ22T2L6Z2GCPXNASQC

not attested not anchored not stored refs pending

On the Emergence of Exponential Decay from Discrete Spectra for Friedrichs Hamiltonians

S\"oren Petrat, Tamim Al-Qaiwani

arxiv:2607.29485 v1 · 2026-07-31 · math-ph · math.MP · 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{Z75SQRVYJ22T2L6Z2GCPXNASQC}

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	2026-08-03T01:35:36.843486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffb2846b84eb53d2fd9d184fbb412809b030c900fd001419877b7616c00df6d

Aliases

arxiv: 2607.29485 · arxiv_version: 2607.29485v1 · doi: 10.48550/arxiv.2607.29485 · pith_short_12: Z75SQRVYJ22T · pith_short_16: Z75SQRVYJ22T2L6Z · pith_short_8: Z75SQRVY

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/Z75SQRVYJ22T2L6Z2GCPXNASQC \
  | 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: cffb2846b84eb53d2fd9d184fbb412809b030c900fd001419877b7616c00df6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae9e8828213db94fba842febf385758e1819dd8b286697841bef9d7e53f93b5",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-31T14:49:54Z",
    "title_canon_sha256": "30ac50af78a14382dddaeacf9700eec9c98d106164717bfac364af9a81296522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29485",
    "kind": "arxiv",
    "version": 1
  }
}