Pith Number

pith:CWRG7XCJ

pith:2016:CWRG7XCJQ2AT5UW4VWB5E4QBTB

not attested not anchored not stored refs pending

Mixing times for exclusion processes on hypergraphs

Richard Pymar, Stephen B. Connor

arxiv:1606.02703 v4 · 2016-06-08 · 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{CWRG7XCJQ2AT5UW4VWB5E4QBTB}

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	2026-05-17T23:43:54.371889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15a26fdc4986813ed2dcad83d27201984b40986e1b4eb9a0b4410d9fbd1f3c72

Aliases

arxiv: 1606.02703 · arxiv_version: 1606.02703v4 · doi: 10.48550/arxiv.1606.02703 · pith_short_12: CWRG7XCJQ2AT · pith_short_16: CWRG7XCJQ2AT5UW4 · pith_short_8: CWRG7XCJ

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/CWRG7XCJQ2AT5UW4VWB5E4QBTB \
  | 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: 15a26fdc4986813ed2dcad83d27201984b40986e1b4eb9a0b4410d9fbd1f3c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a13d66f51b2014e0099bb2f4203e56b6bc427a5e532e7540a410a1d8565d33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-08T19:52:12Z",
    "title_canon_sha256": "6691c767a699288f3762475b88b95e7c53852559e404c93e75697ec505d36fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02703",
    "kind": "arxiv",
    "version": 4
  }
}