Pith Number

pith:GNRBWQ7J

pith:2008:GNRBWQ7JB5FTHUPJ4QCTSG47FO

not attested not anchored not stored refs pending

Three useful bounds in quantum mechanics - easily obtained by Wiener integration

Hajo Leschke, Rainer Ruder

arxiv:0810.2495 v2 · 2008-10-14 · quant-ph · 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{GNRBWQ7JB5FTHUPJ4QCTSG47FO}

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	2026-05-18T00:37:05.990085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33621b43e90f4b33d1e9e405391b9f2b82a6bc061cbd73f92f1050ec8f0d1c18

Aliases

arxiv: 0810.2495 · arxiv_version: 0810.2495v2 · doi: 10.48550/arxiv.0810.2495 · pith_short_12: GNRBWQ7JB5FT · pith_short_16: GNRBWQ7JB5FTHUPJ · pith_short_8: GNRBWQ7J

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/GNRBWQ7JB5FTHUPJ4QCTSG47FO \
  | 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: 33621b43e90f4b33d1e9e405391b9f2b82a6bc061cbd73f92f1050ec8f0d1c18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d34bdc9c8d45c8126919400e1001a61e80dc5e90ca52d2d05f96995096abe1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-10-14T17:02:04Z",
    "title_canon_sha256": "b38763a1e856c5ee1017df3b41d5250a1ac1231d3f8326e6aaa37b3fdd89a8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2495",
    "kind": "arxiv",
    "version": 2
  }
}