Pith Number

pith:5BTRJMHE

pith:2016:5BTRJMHEFWU76LRMTM6F3Y4Y6Q

not attested not anchored not stored refs pending

Stationary averaging for multi-scale continuous time Markov chains using parallel replica dynamics

David Aristoff, Petr Plech\'a\v{c}, Ting Wang

arxiv:1609.06363 v3 · 2016-09-20 · math.NA · 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{5BTRJMHEFWU76LRMTM6F3Y4Y6Q}

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	2026-05-18T00:27:30.632825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e86714b0e42da9ff2e2c9b3c5de398f4025932096e61e4fceab3152f49c9ce11

Aliases

arxiv: 1609.06363 · arxiv_version: 1609.06363v3 · doi: 10.48550/arxiv.1609.06363 · pith_short_12: 5BTRJMHEFWU7 · pith_short_16: 5BTRJMHEFWU76LRM · pith_short_8: 5BTRJMHE

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/5BTRJMHEFWU76LRMTM6F3Y4Y6Q \
  | 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: e86714b0e42da9ff2e2c9b3c5de398f4025932096e61e4fceab3152f49c9ce11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27857be5d106c3f978bf528e6c1dca63d46e7e1c98edcc5012980f2708596ec7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-20T21:14:29Z",
    "title_canon_sha256": "82d497bf9e49dbcf829b19cc44e150756e4fe2847f75d6366bfc32def9a02179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06363",
    "kind": "arxiv",
    "version": 3
  }
}