Pith Number

pith:3YY7RJD4

pith:2005:3YY7RJD4UG6J667N2SPB62UVO2

not attested not anchored not stored refs pending

Schroedinger upper bounds to semirelativistic eigenvalues

Richard L. Hall, Wolfgang Lucha

arxiv:math-ph/0508009 v1 · 2005-08-02 · math-ph · hep-ph · hep-th · 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{3YY7RJD4UG6J667N2SPB62UVO2}

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	2026-05-18T01:05:30.096302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de31f8a47ca1bc9f7bedd49e1f6a957680d3684fa9129202a83aefb4a3de93e3

Aliases

arxiv: math-ph/0508009 · arxiv_version: math-ph/0508009v1 · doi: 10.48550/arxiv.math-ph/0508009 · pith_short_12: 3YY7RJD4UG6J · pith_short_16: 3YY7RJD4UG6J667N · pith_short_8: 3YY7RJD4

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/3YY7RJD4UG6J667N2SPB62UVO2 \
  | 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: de31f8a47ca1bc9f7bedd49e1f6a957680d3684fa9129202a83aefb4a3de93e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c0089c0df40f2eac27f23a57b6e249ad6e3cd0baa492ac6bdce5c53390c4a1",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-08-02T14:44:37Z",
    "title_canon_sha256": "24154a3fbeac3d501e9c06c8534dace7e59f5d4ab6e11f1beac61620afae2c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0508009",
    "kind": "arxiv",
    "version": 1
  }
}