Pith Number

pith:FRBARS3W

pith:2003:FRBARS3WAWOF7EHTCITMDT2T2C

not attested not anchored not stored refs pending

Weak limits for quantum random walks

Geoffrey Grimmett, Petra Scudo, Svante Janson

arxiv:quant-ph/0309135 v1 · 2003-09-18 · quant-ph · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRBARS3WAWOF7EHTCITMDT2T2C}

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	2026-07-04T16:42:37.208147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4208cb76059c5f90f31226c1cf53d0b95b11061d96b9b5517be7c7ec28e299

Aliases

arxiv: quant-ph/0309135 · arxiv_version: quant-ph/0309135v1 · doi: 10.48550/arxiv.quant-ph/0309135 · pith_short_12: FRBARS3WAWOF · pith_short_16: FRBARS3WAWOF7EHT · pith_short_8: FRBARS3W

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/FRBARS3WAWOF7EHTCITMDT2T2C \
  | 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: 2c4208cb76059c5f90f31226c1cf53d0b95b11061d96b9b5517be7c7ec28e299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b15a07dbfa8809c32ab22c7e4dff25e7ec1ded48970814da67f46a26155cc258",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-18T10:07:18Z",
    "title_canon_sha256": "2e649f25a7d373f48a062907245d1954cdc1e78d9ada708120d54cad85fcdf23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309135",
    "kind": "arxiv",
    "version": 1
  }
}