Pith Number

pith:AZOI7FHD

pith:2011:AZOI7FHDE2V22IT2KFLEKOKVPQ

not attested not anchored not stored refs pending

Convergence of quantum random walks with decoherence

Sheng Xiong, Shimao Fan, Wei-Shih Yang, Zhiyong Feng

arxiv:1108.4482 v1 · 2011-08-23 · 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{AZOI7FHDE2V22IT2KFLEKOKVPQ}

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	2026-05-18T02:00:49.479550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065c8f94e326abad227a51564539557c387378fe6912d6ea844092350d461ef3

Aliases

arxiv: 1108.4482 · arxiv_version: 1108.4482v1 · doi: 10.48550/arxiv.1108.4482 · pith_short_12: AZOI7FHDE2V2 · pith_short_16: AZOI7FHDE2V22IT2 · pith_short_8: AZOI7FHD

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/AZOI7FHDE2V22IT2KFLEKOKVPQ \
  | 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: 065c8f94e326abad227a51564539557c387378fe6912d6ea844092350d461ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ebb91cab7c8c14c90558ef3029a0e2010ff7b79a6815650ceb2c1ceaed9c01e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-23T02:49:45Z",
    "title_canon_sha256": "9265a5428e510552a294295ce32456b07a91c8baeabf1538d8f68838790a9205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4482",
    "kind": "arxiv",
    "version": 1
  }
}