Pith Number

pith:PQ2RUHTV

pith:2012:PQ2RUHTVLTGYSHGN6G4KMIWKLO

not attested not anchored not stored refs pending

Directed random walk on the backbone of an oriented percolation cluster

Andrej Depperschmidt, Jiri Cerny, Matthias Birkner, Nina Gantert

arxiv:1204.2951 v3 · 2012-04-13 · 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{PQ2RUHTVLTGYSHGN6G4KMIWKLO}

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	2026-05-18T03:20:56.922622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c351a1e755ccd891ccdf1b8a622ca5b960ff63670248895e5b775db7b640218

Aliases

arxiv: 1204.2951 · arxiv_version: 1204.2951v3 · doi: 10.48550/arxiv.1204.2951 · pith_short_12: PQ2RUHTVLTGY · pith_short_16: PQ2RUHTVLTGYSHGN · pith_short_8: PQ2RUHTV

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/PQ2RUHTVLTGYSHGN6G4KMIWKLO \
  | 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: 7c351a1e755ccd891ccdf1b8a622ca5b960ff63670248895e5b775db7b640218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824dd739be31f34308f2ea75822600b26ffbc5b24e98863a0781c090dcf90b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-13T10:57:25Z",
    "title_canon_sha256": "941099187f344d3bb1ec757dcb4170a39ff17ff9517ba5eb1c32ca2508174367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2951",
    "kind": "arxiv",
    "version": 3
  }
}