Pith Number

pith:XL6FA724

pith:2014:XL6FA724FVWXOX6ZSVGORTDK3X

not attested not anchored not stored refs pending

The parallel replica method for computing equilibrium averages of Markov chains

David Aristoff

arxiv:1501.00217 v3 · 2014-12-31 · math.NA · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL6FA724FVWXOX6ZSVGORTDK3X}

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	2026-05-18T01:27:46.389280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafc507f5c2d6d775fd9954ce8cc6addc10d1782820760aaf8d2fb40399e5521

Aliases

arxiv: 1501.00217 · arxiv_version: 1501.00217v3 · doi: 10.48550/arxiv.1501.00217 · pith_short_12: XL6FA724FVWX · pith_short_16: XL6FA724FVWXOX6Z · pith_short_8: XL6FA724

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/XL6FA724FVWXOX6ZSVGORTDK3X \
  | 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: bafc507f5c2d6d775fd9954ce8cc6addc10d1782820760aaf8d2fb40399e5521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0023d38b64bad9fc4340a3275c100b610392c4c6057ee6901e95b7d46c03b01",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-31T22:06:22Z",
    "title_canon_sha256": "e48cbadce8e11653511ce7d1dcedb0d10b5ed7c6315bad021f8feb12ea55a88a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00217",
    "kind": "arxiv",
    "version": 3
  }
}