Pith Number

pith:XJKPO6BR

pith:2017:XJKPO6BRRWF4CEJCVUJOZ5AJJN

not attested not anchored not stored refs pending

From Random Walks to Random Leaps: Generalizing Classic Markov Chains for Big Data Applications

Bala Rajaratnam, Doug Sparks, Meng-Hsuan Wu, Narut Sereewattanawoot

arxiv:1708.03116 v1 · 2017-08-10 · 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{XJKPO6BRRWF4CEJCVUJOZ5AJJN}

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	2026-05-18T00:38:14.719956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba54f778318d8bc11122ad12ecf4094b6749b2f817c4c5e5d8b83185bdd3d90a

Aliases

arxiv: 1708.03116 · arxiv_version: 1708.03116v1 · doi: 10.48550/arxiv.1708.03116 · pith_short_12: XJKPO6BRRWF4 · pith_short_16: XJKPO6BRRWF4CEJC · pith_short_8: XJKPO6BR

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/XJKPO6BRRWF4CEJCVUJOZ5AJJN \
  | 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: ba54f778318d8bc11122ad12ecf4094b6749b2f817c4c5e5d8b83185bdd3d90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf361fffb0b1215475590524d09bb2fb1ce61ea23681cff58d618bf95aee3b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-10T08:23:40Z",
    "title_canon_sha256": "633f5dbd0c10c46351034bf6e7cf7f6e2cbc9ed20352665191021ccd97cacf58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03116",
    "kind": "arxiv",
    "version": 1
  }
}