Pith Number

pith:452TLI7M

pith:2012:452TLI7MSKVL477MMBFHSF63IS

not attested not anchored not stored refs pending

Weak limits for quantum walks on the half-line

Chaobin Liu, Nelson Petulante

arxiv:1212.1109 v3 · 2012-12-05 · 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{452TLI7MSKVL477MMBFHSF63IS}

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	2026-05-18T01:31:19.356438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77535a3ec92aabe7fec604a7917db44a7852096cb843834aa7458ea7abc0048

Aliases

arxiv: 1212.1109 · arxiv_version: 1212.1109v3 · doi: 10.48550/arxiv.1212.1109 · pith_short_12: 452TLI7MSKVL · pith_short_16: 452TLI7MSKVL477M · pith_short_8: 452TLI7M

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/452TLI7MSKVL477MMBFHSF63IS \
  | 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: e77535a3ec92aabe7fec604a7917db44a7852096cb843834aa7458ea7abc0048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8edda05b09396baf02c4fbd00493d7ca208c3a061983bccbba39448df7d2cd3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-05T17:32:44Z",
    "title_canon_sha256": "7249afce3ba537337495867939f28d1b6b06754e7f7d690cd6d6ee9d1b379306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1109",
    "kind": "arxiv",
    "version": 3
  }
}