Pith Number

pith:2XJF7NWU

pith:2015:2XJF7NWU4HFLZX6THIDEYWHSHR

not attested not anchored not stored refs pending

Ergodic theory of the symmetric inclusion process

Frank Redig, Kevin Kuoch

arxiv:1508.04338 v1 · 2015-08-18 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XJF7NWU4HFLZX6THIDEYWHSHR}

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	2026-05-18T01:35:05.593275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d25fb6d4e1cabcdfd33a064c58f23c6ff9d2b793b8d00aea8e9ac6a9555700

Aliases

arxiv: 1508.04338 · arxiv_version: 1508.04338v1 · doi: 10.48550/arxiv.1508.04338 · pith_short_12: 2XJF7NWU4HFL · pith_short_16: 2XJF7NWU4HFLZX6T · pith_short_8: 2XJF7NWU

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/2XJF7NWU4HFLZX6THIDEYWHSHR \
  | 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: d5d25fb6d4e1cabcdfd33a064c58f23c6ff9d2b793b8d00aea8e9ac6a9555700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b800b3e85a564516823db84e7f36d69773fd40f8b573482fa9c9d51e56b957f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-18T14:56:53Z",
    "title_canon_sha256": "225b5cb2593bae253bb740204699264d44202a8e3978b8b2ca53b2c58250890b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04338",
    "kind": "arxiv",
    "version": 1
  }
}