Pith Number

pith:72WRRJL2

pith:2014:72WRRJL2XXAQFLO57RWU7H62IV

not attested not anchored not stored refs pending

Almost exponential decay for the exit probability from slabs of ballistic RWRE

Alejandro F. Ramirez, Enrique Guerra

arxiv:1406.4537 v1 · 2014-06-17 · 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{72WRRJL2XXAQFLO57RWU7H62IV}

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	2026-05-17T23:55:30.919040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fead18a57abdc102adddfc6d4f9fda456faa74d2e9d4f9e01117a32a5ad0db8c

Aliases

arxiv: 1406.4537 · arxiv_version: 1406.4537v1 · doi: 10.48550/arxiv.1406.4537 · pith_short_12: 72WRRJL2XXAQ · pith_short_16: 72WRRJL2XXAQFLO5 · pith_short_8: 72WRRJL2

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/72WRRJL2XXAQFLO57RWU7H62IV \
  | 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: fead18a57abdc102adddfc6d4f9fda456faa74d2e9d4f9e01117a32a5ad0db8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd9893e22c2fd918d57d48d8055b0b124572e58a89bb44cb82670b4d4544dc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-17T20:50:56Z",
    "title_canon_sha256": "46cff707e1e89b86c87c241f41c0a4785e9b125dfdd39f44f08b003d6e162988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4537",
    "kind": "arxiv",
    "version": 1
  }
}