Pith Number

pith:R7B3NHVO

pith:2007:R7B3NHVOECPLVCAVRHKIG6CGKR

not attested not anchored not stored refs pending

Recurrence and P\'olya number of quantum walks

I. Jex, M. Stefanak, T. Kiss

arxiv:0705.1991 v2 · 2007-05-14 · 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{R7B3NHVOECPLVCAVRHKIG6CGKR}

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	2026-05-18T04:09:16.634398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc3b69eae209eba881589d4837846546ad77dfb85466719519643862de99bb8

Aliases

arxiv: 0705.1991 · arxiv_version: 0705.1991v2 · doi: 10.48550/arxiv.0705.1991 · pith_short_12: R7B3NHVOECPL · pith_short_16: R7B3NHVOECPLVCAV · pith_short_8: R7B3NHVO

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/R7B3NHVOECPLVCAVRHKIG6CGKR \
  | 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: 8fc3b69eae209eba881589d4837846546ad77dfb85466719519643862de99bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1a4fabbaaaa27d8721720dbb7ba41053ba8e31dd134f20ea6b3d9b85e6122c7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-05-14T17:33:03Z",
    "title_canon_sha256": "418de72c22bf95f53328ed8fe7115c92a60d8461a9098f11c19e9bbe4dbe8184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1991",
    "kind": "arxiv",
    "version": 2
  }
}