Pith Number

pith:TZZN7MS4

pith:2008:TZZN7MS4Q7WZTEHKIAAE2A2WAG

not attested not anchored not stored refs pending

Topologies on Quantum Effects

Sen Zhu, Zhihao Ma

arxiv:0811.2454 v1 · 2008-11-15 · quant-ph · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZZN7MS4Q7WZTEHKIAAE2A2WAG}

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	2026-05-18T02:15:20.990918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e72dfb25c87ed9990ea40004d0356019288ea142660a967c925c358adb68202

Aliases

arxiv: 0811.2454 · arxiv_version: 0811.2454v1 · doi: 10.48550/arxiv.0811.2454 · pith_short_12: TZZN7MS4Q7WZ · pith_short_16: TZZN7MS4Q7WZTEHK · pith_short_8: TZZN7MS4

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/TZZN7MS4Q7WZTEHKIAAE2A2WAG \
  | 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: 9e72dfb25c87ed9990ea40004d0356019288ea142660a967c925c358adb68202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b69868c437b252f480b267d6a2da0bdc174a6944d94fd08efa30d8f67f6746",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-11-15T03:24:13Z",
    "title_canon_sha256": "0b470094895a6224cb0d5eea2075945b471f6ee61dc02942f914e46ff9605209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2454",
    "kind": "arxiv",
    "version": 1
  }
}