Pith Number

pith:4CSW6PRK

pith:2013:4CSW6PRKWF7ZLKIXF4UB32NIAM

not attested not anchored not stored refs pending

Berman-Konsowa principle for reversible Markov jump processes

F. den Hollander, S. Jansen

arxiv:1309.1305 v2 · 2013-09-05 · 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{4CSW6PRKWF7ZLKIXF4UB32NIAM}

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	2026-05-18T01:00:10.571122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a56f3e2ab17f95a9172f281de9a8032475ad66eac6a7d3e542104ee95e484c

Aliases

arxiv: 1309.1305 · arxiv_version: 1309.1305v2 · doi: 10.48550/arxiv.1309.1305 · pith_short_12: 4CSW6PRKWF7Z · pith_short_16: 4CSW6PRKWF7ZLKIX · pith_short_8: 4CSW6PRK

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/4CSW6PRKWF7ZLKIXF4UB32NIAM \
  | 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: e0a56f3e2ab17f95a9172f281de9a8032475ad66eac6a7d3e542104ee95e484c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc65e79ec291cbdc221b0ee07082c99db693e092b538b5b0216d2a100291311c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-05T10:39:41Z",
    "title_canon_sha256": "60de76da3badf89c960314a194fdebb04feb0a42f85b9dc0fd36a5abe4073f24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1305",
    "kind": "arxiv",
    "version": 2
  }
}