Pith Number

pith:VSTKCBED

pith:2013:VSTKCBEDOCWASOQX2BJW233PCK

not attested not anchored not stored refs pending

Coupling independent walkers and the inclusion process

Alex Opoku, Frank Redig

arxiv:1311.1620 v2 · 2013-11-07 · 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{VSTKCBEDOCWASOQX2BJW233PCK}

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	2026-05-18T02:28:40.811666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca6a1048370ac093a17d0536d6f6f12b50cc510fcc66fadcf0612c84a9c548f

Aliases

arxiv: 1311.1620 · arxiv_version: 1311.1620v2 · doi: 10.48550/arxiv.1311.1620 · pith_short_12: VSTKCBEDOCWA · pith_short_16: VSTKCBEDOCWASOQX · pith_short_8: VSTKCBED

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/VSTKCBEDOCWASOQX2BJW233PCK \
  | 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: aca6a1048370ac093a17d0536d6f6f12b50cc510fcc66fadcf0612c84a9c548f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9081bf2e5e6b59e6dd401848560f7c6784d7fc6069dfde05513744102df2e977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-07T09:58:34Z",
    "title_canon_sha256": "68497abebcd64ed28bca3bb25f4555e47b399c884c23373cf0bd52443769d6fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1620",
    "kind": "arxiv",
    "version": 2
  }
}