Pith Number

pith:K4Z4ABYJ

pith:2005:K4Z4ABYJCUZVFPNC4UINSYHSUW

not attested not anchored not stored refs pending

Local Scattering Operators for P(\phi)_2 Models and the Time-dependent Schr\"odinger Equation

Tobias Schlegelmilch

arxiv:math-ph/0512091 v1 · 2005-12-29 · 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{K4Z4ABYJCUZVFPNC4UINSYHSUW}

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	2026-07-04T14:52:12.155089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5733c00709153352bda2e510d960f2a59ca084060037922937d0341c3180c3aa

Aliases

arxiv: math-ph/0512091 · arxiv_version: math-ph/0512091v1 · doi: 10.48550/arxiv.math-ph/0512091 · pith_short_12: K4Z4ABYJCUZV · pith_short_16: K4Z4ABYJCUZVFPNC · pith_short_8: K4Z4ABYJ

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/K4Z4ABYJCUZVFPNC4UINSYHSUW \
  | 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: 5733c00709153352bda2e510d960f2a59ca084060037922937d0341c3180c3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09fa459a228284428b4d6775e04fdf016b9bb79e0c18829b52be330bcd9a61b5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-12-29T02:29:16Z",
    "title_canon_sha256": "c5e7d26aa18c09e43625ffffa7c0e43afb946981db4dfdce0959b7b603236e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0512091",
    "kind": "arxiv",
    "version": 1
  }
}