Pith Number

pith:N73QE5IG

pith:2016:N73QE5IGVRNHP2V6KOLFMWYLY2

not attested not anchored not stored refs pending

Transition matrix from a random walk

Lawrence S. Schulman

arxiv:1605.04282 v3 · 2016-05-05 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N73QE5IGVRNHP2V6KOLFMWYLY2}

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	2026-05-18T00:39:02.848440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ff7027506ac5a77eabe5396565b0bc69f800ad382ddfa90d0263690b7ff72f3

Aliases

arxiv: 1605.04282 · arxiv_version: 1605.04282v3 · doi: 10.48550/arxiv.1605.04282 · pith_short_12: N73QE5IGVRNH · pith_short_16: N73QE5IGVRNHP2V6 · pith_short_8: N73QE5IG

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/N73QE5IGVRNHP2V6KOLFMWYLY2 \
  | 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: 6ff7027506ac5a77eabe5396565b0bc69f800ad382ddfa90d0263690b7ff72f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131337cc5ba76a7f002da608dc2a6f956339f11c84768d86cf012709dfc3b807",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-05-05T09:18:04Z",
    "title_canon_sha256": "e2e5662f005b5b2ec06d19146cec7e14298ab7254df420d26d7c3f7f9536b37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04282",
    "kind": "arxiv",
    "version": 3
  }
}