Pith Number

pith:JENG4TRG

pith:2012:JENG4TRGKSYTDOTUE6MLFXUIIL

not attested not anchored not stored refs pending

Superdiffusivity of quantum walks: A Feynman sum-over-paths description

F. M. Andrade, M. G. E. da Luz

arxiv:1209.4953 v2 · 2012-09-22 · quant-ph · cond-mat.stat-mech · math-ph · math.MP · physics.comp-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{JENG4TRGKSYTDOTUE6MLFXUIIL}

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	2026-05-18T03:43:51.851598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

491a6e4e2654b131ba742798b2de8842c0e50c41b7ddd705af73dd133282ef92

Aliases

arxiv: 1209.4953 · arxiv_version: 1209.4953v2 · doi: 10.48550/arxiv.1209.4953 · pith_short_12: JENG4TRGKSYT · pith_short_16: JENG4TRGKSYTDOTU · pith_short_8: JENG4TRG

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/JENG4TRGKSYTDOTUE6MLFXUIIL \
  | 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: 491a6e4e2654b131ba742798b2de8842c0e50c41b7ddd705af73dd133282ef92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b17ff7d4b21620945dce6be6147ff2ddcd2e4e85f482043c7d781ddb9dda45c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-22T02:25:19Z",
    "title_canon_sha256": "2bfa76cb039f073f3bc4c26a9260ce7602e07ae017d6fd04384605e2cfdfefc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4953",
    "kind": "arxiv",
    "version": 2
  }
}