Pith Number

pith:LGRYFO45

pith:2012:LGRYFO45RNABLVKKC47DGNOHPU

not attested not anchored not stored refs pending

Spectral Transition for Random Quantum Walks on Trees

Alain Joye, Eman Hamza

arxiv:1212.6078 v2 · 2012-12-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGRYFO45RNABLVKKC47DGNOHPU}

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.

Cited by

1 paper in Pith

Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites

Receipt and verification

First computed	2026-05-18T02:48:17.888116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a382bb9d8b4015d54a173e3335c77d26a159c5a6e83ece1f80500f7232904a

Aliases

arxiv: 1212.6078 · arxiv_version: 1212.6078v2 · doi: 10.48550/arxiv.1212.6078 · pith_short_12: LGRYFO45RNAB · pith_short_16: LGRYFO45RNABLVKK · pith_short_8: LGRYFO45

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/LGRYFO45RNABLVKKC47DGNOHPU \
  | 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: 59a382bb9d8b4015d54a173e3335c77d26a159c5a6e83ece1f80500f7232904a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ca0bbd81f4e999da1281f4bd909eb6242490d051ae4e314dc1d760f2f5c94e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-25T19:33:11Z",
    "title_canon_sha256": "f7d7b98716090f1f9e49f5437d0b32cc22facc5f1942fe4311318ed94875b118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6078",
    "kind": "arxiv",
    "version": 2
  }
}