Pith Number

pith:35UNBZ4I

pith:2013:35UNBZ4IEXZEAMWK7IOKHHDA7L

not attested not anchored not stored refs pending

Exit laws from large balls of (an)isotropic random walks in random environment

Erich Baur, Erwin Bolthausen

arxiv:1309.3169 v2 · 2013-09-12 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35UNBZ4IEXZEAMWK7IOKHHDA7L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:23:59.060187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df68d0e78825f24032cafa1ca39c60fac32034cf5d2bb34726c989b7d8f75c6f

Aliases

arxiv: 1309.3169 · arxiv_version: 1309.3169v2 · doi: 10.48550/arxiv.1309.3169 · pith_short_12: 35UNBZ4IEXZE · pith_short_16: 35UNBZ4IEXZEAMWK · pith_short_8: 35UNBZ4I

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/35UNBZ4IEXZEAMWK7IOKHHDA7L \
  | 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: df68d0e78825f24032cafa1ca39c60fac32034cf5d2bb34726c989b7d8f75c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e991e1814dc48fbd89f22afad5e373ea56e4608cfea4f3bd9f4a9ccc6c62622",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-12T14:22:33Z",
    "title_canon_sha256": "af3c6be39e116817d6b9b3f7e1de98106776d11017b1de656e7f2881d73810ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3169",
    "kind": "arxiv",
    "version": 2
  }
}