Pith Number

pith:YE427YER

pith:2012:YE427YER4VKINGNST2ZDBFJRVN

not attested not anchored not stored refs pending

Crossing speeds of random walks among "sparse" or "spiky" Bernoulli potentials on integers

Elena Kosygina

arxiv:1212.4447 v2 · 2012-12-18 · math.PR · math-ph · 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{YE427YER4VKINGNST2ZDBFJRVN}

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	2026-05-18T01:52:30.868978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c139afe091e5548699b29eb2309531ab602498f4377514da09fe4339d52ce77d

Aliases

arxiv: 1212.4447 · arxiv_version: 1212.4447v2 · doi: 10.48550/arxiv.1212.4447 · pith_short_12: YE427YER4VKI · pith_short_16: YE427YER4VKINGNS · pith_short_8: YE427YER

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/YE427YER4VKINGNST2ZDBFJRVN \
  | 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: c139afe091e5548699b29eb2309531ab602498f4377514da09fe4339d52ce77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c133f6e4de83511b8895c8b851ac0093b1a46411f7feb330e74d417bfa5fd8e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-18T17:54:13Z",
    "title_canon_sha256": "e172f0d78594314a61be59cee1d590fde89d96dc558d0a99719af0512800329b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4447",
    "kind": "arxiv",
    "version": 2
  }
}