Pith Number

pith:GNTMVM6O

pith:2006:GNTMVM6OBN3HKT2JVXTONJDO7P

not attested not anchored not stored refs pending

A case concerning the improved transition probability

An Min Wang, Jian Tang

arxiv:quant-ph/0611195 v2 · 2006-11-18 · quant-ph · physics.atom-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{GNTMVM6OBN3HKT2JVXTONJDO7P}

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	2026-07-04T14:57:47.795434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3366cab3ce0b76754f49ade6e6a46efbd91daec61c0f1aab38fb772719a5aebe

Aliases

arxiv: quant-ph/0611195 · arxiv_version: quant-ph/0611195v2 · doi: 10.48550/arxiv.quant-ph/0611195 · pith_short_12: GNTMVM6OBN3H · pith_short_16: GNTMVM6OBN3HKT2J · pith_short_8: GNTMVM6O

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/GNTMVM6OBN3HKT2JVXTONJDO7P \
  | 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: 3366cab3ce0b76754f49ade6e6a46efbd91daec61c0f1aab38fb772719a5aebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65732f0d5c142c31fa98d92c0053c630f9a5205bf7cb12dbccf0510899081c66",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-11-18T10:55:26Z",
    "title_canon_sha256": "aa34ce09817fe0b4201130e3303c692468e47302c064e24083ac0b7995b87f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0611195",
    "kind": "arxiv",
    "version": 2
  }
}