Pith Number

pith:VGZJR7HN

pith:2004:VGZJR7HN7YL2M5SX66QPWBSWBU

not attested not anchored not stored refs pending

Lower bounds for the spinless Salpeter equation

Fabian Brau

arxiv:math-ph/0411009 v1 · 2004-11-02 · 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{VGZJR7HN7YL2M5SX66QPWBSWBU}

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	2026-05-18T01:38:33.334416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b298fcedfe17a67657f7a0fb06560d0512ff0cf2d9cb2a2593155f6d0c52a1

Aliases

arxiv: math-ph/0411009 · arxiv_version: math-ph/0411009v1 · doi: 10.48550/arxiv.math-ph/0411009 · pith_short_12: VGZJR7HN7YL2 · pith_short_16: VGZJR7HN7YL2M5SX · pith_short_8: VGZJR7HN

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/VGZJR7HN7YL2M5SX66QPWBSWBU \
  | 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: a9b298fcedfe17a67657f7a0fb06560d0512ff0cf2d9cb2a2593155f6d0c52a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2daadc4ec3fbe8dd79cf64f9455ed9497c16ee7a96a8906834436cd80cd3f0c7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-11-02T13:21:42Z",
    "title_canon_sha256": "8f0a6bce4e869f23ed7df004b898cc64d0e459338f04c4fa78bda9bdccf2d4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0411009",
    "kind": "arxiv",
    "version": 1
  }
}