Pith Number

pith:TJU7AZUT

pith:2016:TJU7AZUTBEQKYHHFWNAYTY3KBV

not attested not anchored not stored refs pending

Range of (1,2) random walk in random environment

Hua-Ming Wang

arxiv:1602.03107 v1 · 2016-02-09 · 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{TJU7AZUTBEQKYHHFWNAYTY3KBV}

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	2026-05-18T01:21:03.401944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a69f066930920ac1ce5b34189e36a0d5ff2456308617c4d8b7398dae9df0339

Aliases

arxiv: 1602.03107 · arxiv_version: 1602.03107v1 · doi: 10.48550/arxiv.1602.03107 · pith_short_12: TJU7AZUTBEQK · pith_short_16: TJU7AZUTBEQKYHHF · pith_short_8: TJU7AZUT

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/TJU7AZUTBEQKYHHFWNAYTY3KBV \
  | 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: 9a69f066930920ac1ce5b34189e36a0d5ff2456308617c4d8b7398dae9df0339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c61ad1e2017d4255a0d038785a8cca3cf8783d0d122a22e92c59aaf5529dac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-09T18:10:36Z",
    "title_canon_sha256": "bf3ebf1c430bb81907d7afdb00af55b0b84f19b761add8707335a051949df658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03107",
    "kind": "arxiv",
    "version": 1
  }
}