Pith Number

pith:VHKVXIAC

pith:2013:VHKVXIACFZ46Q6AKA3QEEM663D

not attested not anchored not stored refs pending

The maximum of a symmetric next neighbor walk on the non-negative integers

Jerome K. Percus, Ora E. Percus

arxiv:1305.5568 v1 · 2013-05-23 · 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{VHKVXIACFZ46Q6AKA3QEEM663D}

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	2026-05-18T03:25:03.866034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d55ba0022e79e8780a06e04233ded8e57fe8702458148c9cb343aca0a2ff48

Aliases

arxiv: 1305.5568 · arxiv_version: 1305.5568v1 · doi: 10.48550/arxiv.1305.5568 · pith_short_12: VHKVXIACFZ46 · pith_short_16: VHKVXIACFZ46Q6AK · pith_short_8: VHKVXIAC

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/VHKVXIACFZ46Q6AKA3QEEM663D \
  | 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: a9d55ba0022e79e8780a06e04233ded8e57fe8702458148c9cb343aca0a2ff48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43acc10423df9a5a033be93c8d9043574c21e81ad2c93bf8822944ea6fb6bcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-23T21:15:11Z",
    "title_canon_sha256": "6fd6c229a90895817a432fe81c61d902331f10ec2a3430d49ce06c03ec82f973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5568",
    "kind": "arxiv",
    "version": 1
  }
}