Pith Number

pith:DHS4U36X

pith:2011:DHS4U36XW56UFJAG4ZCXZTDIG4

not attested not anchored not stored refs pending

Directed Random Walk on the Lattices of Genus Two

A.V. Nazarenko

arxiv:1112.2278 v1 · 2011-12-10 · math-ph · cond-mat.stat-mech · 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{DHS4U36XW56UFJAG4ZCXZTDIG4}

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	2026-05-18T01:59:12.268253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19e5ca6fd7b77d42a406e6457ccc68370c68dd1ee746cdfa53f7b38356632af4

Aliases

arxiv: 1112.2278 · arxiv_version: 1112.2278v1 · doi: 10.48550/arxiv.1112.2278 · pith_short_12: DHS4U36XW56U · pith_short_16: DHS4U36XW56UFJAG · pith_short_8: DHS4U36X

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/DHS4U36XW56UFJAG4ZCXZTDIG4 \
  | 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: 19e5ca6fd7b77d42a406e6457ccc68370c68dd1ee746cdfa53f7b38356632af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b434682921210c0cd69b764bb61da8984f8fdfa8da570673581a809228ceaa3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-10T13:31:22Z",
    "title_canon_sha256": "4fc9643c245b016e5bcc2cc4f73b230f9b13ef0d4ce79fb72a3742504ac5b095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2278",
    "kind": "arxiv",
    "version": 1
  }
}