Pith Number

pith:PGEHNU7C

pith:2012:PGEHNU7C3WPKGY2MBZ2O2ZB2VZ

not attested not anchored not stored refs pending

On the Strong Recurrence of Recurrent RWRE

Michael Kochler

arxiv:1211.4770 v1 · 2012-11-20 · 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{PGEHNU7C3WPKGY2MBZ2O2ZB2VZ}

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	2026-05-18T03:40:16.869534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798876d3e2dd9ea3634c0e74ed643aae4fffc827de4f2d6f3ec8cb0f11d3168f

Aliases

arxiv: 1211.4770 · arxiv_version: 1211.4770v1 · doi: 10.48550/arxiv.1211.4770 · pith_short_12: PGEHNU7C3WPK · pith_short_16: PGEHNU7C3WPKGY2M · pith_short_8: PGEHNU7C

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/PGEHNU7C3WPKGY2MBZ2O2ZB2VZ \
  | 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: 798876d3e2dd9ea3634c0e74ed643aae4fffc827de4f2d6f3ec8cb0f11d3168f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621e60fbd4fc2180b170310d394868c4e5fb4990de969bcbc57fb3ca90556c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-20T15:14:34Z",
    "title_canon_sha256": "6cba5d53650d34fcbba42b7affd89d21149f7c25f8858d1143d006377c22b0a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4770",
    "kind": "arxiv",
    "version": 1
  }
}