Pith Number

pith:HT62PADI

pith:2016:HT62PADILDRVNJ5ESZMMTXE4YS

not attested not anchored not stored refs pending

The coalescing-branching random walk on expanders and the dual epidemic process

Colin Cooper, Nicolas Rivera, Tomasz Radzik

arxiv:1602.05768 v2 · 2016-02-18 · cs.DC · 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{HT62PADILDRVNJ5ESZMMTXE4YS}

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	2026-05-18T01:13:37.664635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cfda7806858e356a7a49658c9dc9cc491cabef08f3ec1c184220743917f4e01

Aliases

arxiv: 1602.05768 · arxiv_version: 1602.05768v2 · doi: 10.48550/arxiv.1602.05768 · pith_short_12: HT62PADILDRV · pith_short_16: HT62PADILDRVNJ5E · pith_short_8: HT62PADI

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/HT62PADILDRVNJ5ESZMMTXE4YS \
  | 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: 3cfda7806858e356a7a49658c9dc9cc491cabef08f3ec1c184220743917f4e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52eae6b003c4e6732401631fa5cd8fc66aa9bd83583e7833e8c5e83a17c774ea",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2016-02-18T11:49:52Z",
    "title_canon_sha256": "3bdc83cdcf6e2d9724c8be4e8ff3d98e17a208f30388420fadfc0f4445479b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05768",
    "kind": "arxiv",
    "version": 2
  }
}