Pith Number

pith:PURNGSHV

pith:2016:PURNGSHVH2WRDZWUSBNH6MSHHO

not attested not anchored not stored refs pending

The Cover Time of Deterministic Random Walks for General Transition Probabilities

Takeharu Shiraga

arxiv:1602.07729 v2 · 2016-02-24 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PURNGSHVH2WRDZWUSBNH6MSHHO}

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	2026-05-18T01:14:58.520873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d22d348f53ead11e6d4905a7f32473ba696937aa01a54700532e289dae89090

Aliases

arxiv: 1602.07729 · arxiv_version: 1602.07729v2 · doi: 10.48550/arxiv.1602.07729 · pith_short_12: PURNGSHVH2WR · pith_short_16: PURNGSHVH2WRDZWU · pith_short_8: PURNGSHV

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/PURNGSHVH2WRDZWUSBNH6MSHHO \
  | 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: 7d22d348f53ead11e6d4905a7f32473ba696937aa01a54700532e289dae89090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2c1249493fac05178954665357b45ac1d99b72bb3a27b2caed835c51a89e9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-02-24T22:15:58Z",
    "title_canon_sha256": "f5f570dd639676e68eb5372308831e9c0d6466d4b9ab2c0a5d8e135399bb073a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07729",
    "kind": "arxiv",
    "version": 2
  }
}