Pith Number

pith:YTBYWL6U

pith:2012:YTBYWL6URLY6O3OVUUTWXZYQ36

not attested not anchored not stored refs pending

Strict monotonicity properties in one-dimensional excited random walks

Jonathon Peterson

arxiv:1210.4518 v2 · 2012-10-16 · 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{YTBYWL6URLY6O3OVUUTWXZYQ36}

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	2026-05-18T01:12:36.767985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c38b2fd48af1e76dd5a5276be710dfbb791b860aa6102f50f4e990ac81f216

Aliases

arxiv: 1210.4518 · arxiv_version: 1210.4518v2 · doi: 10.48550/arxiv.1210.4518 · pith_short_12: YTBYWL6URLY6 · pith_short_16: YTBYWL6URLY6O3OV · pith_short_8: YTBYWL6U

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/YTBYWL6URLY6O3OVUUTWXZYQ36 \
  | 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: c4c38b2fd48af1e76dd5a5276be710dfbb791b860aa6102f50f4e990ac81f216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9689d367f6f43f34af77100dfbc58c72f422dd2a8a320b1bf585d434de970af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-16T18:30:21Z",
    "title_canon_sha256": "81af9bd328fa2810685aa5a56eb85401538f6b7e3b546221dae99ac25caf084a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4518",
    "kind": "arxiv",
    "version": 2
  }
}