Pith Number

pith:TRSH3F24

pith:2011:TRSH3F24MTAX4KQFC6GRTJPKUQ

not attested not anchored not stored refs pending

Asymptotic distributions of quantum walks on the line with two entangled coins

Chaobin Liu

arxiv:1107.3346 v1 · 2011-07-18 · quant-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{TRSH3F24MTAX4KQFC6GRTJPKUQ}

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	2026-05-18T04:18:03.274199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c647d975c64c17e2a05178d19a5eaa40d197b4a40dc233e83dc6dc122fce767

Aliases

arxiv: 1107.3346 · arxiv_version: 1107.3346v1 · doi: 10.48550/arxiv.1107.3346 · pith_short_12: TRSH3F24MTAX · pith_short_16: TRSH3F24MTAX4KQF · pith_short_8: TRSH3F24

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/TRSH3F24MTAX4KQFC6GRTJPKUQ \
  | 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: 9c647d975c64c17e2a05178d19a5eaa40d197b4a40dc233e83dc6dc122fce767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03399f1c92096539f829ba3d492fdf322b94b37cbb01705106874e0e6c757e09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-18T01:17:38Z",
    "title_canon_sha256": "4bc5513254ffd82f13a7d9d59551e8a33a91367ee598f2d923e677665e995296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3346",
    "kind": "arxiv",
    "version": 1
  }
}