Pith Number

pith:JZCVQYM3

pith:2003:JZCVQYM3OK6RUBDXGKQM2A6XD5

not attested not anchored not stored refs pending

Modelling of Quantum Networks

Anna Mikhailova, Boris Pavlov, Lev Prokhorov

arxiv:math-ph/0312038 v2 · 2003-12-13 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZCVQYM3OK6RUBDXGKQM2A6XD5}

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	2026-07-04T14:33:58.710262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4558619b72bd1a047732a0cd03d71f4ada9d84ec685de15869b57196ae0162

Aliases

arxiv: math-ph/0312038 · arxiv_version: math-ph/0312038v2 · doi: 10.48550/arxiv.math-ph/0312038 · pith_short_12: JZCVQYM3OK6R · pith_short_16: JZCVQYM3OK6RUBDX · pith_short_8: JZCVQYM3

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/JZCVQYM3OK6RUBDXGKQM2A6XD5 \
  | 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: 4e4558619b72bd1a047732a0cd03d71f4ada9d84ec685de15869b57196ae0162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c3232d154d3c2fa0de7dced1299113ebd36f25a631af2d949ce5428365b888",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-12-13T12:17:19Z",
    "title_canon_sha256": "aa4ccfa3e43106a1a68a4bcd2407b4e9dda99ed18fb25d938cdd844b5173a0bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0312038",
    "kind": "arxiv",
    "version": 2
  }
}