Pith Number

pith:2GFJXF5G

pith:2017:2GFJXF5GJAHVEE4PEN2KFWEAGY

not attested not anchored not stored refs pending

Coupling and Decoupling to bound an approximating Markov Chain

James E. Johndrow, Jonathan C. Mattingly

arxiv:1706.02040 v2 · 2017-06-07 · 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{2GFJXF5GJAHVEE4PEN2KFWEAGY}

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	2026-05-18T00:30:34.075338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18a9b97a6480f52138f2374a2d8803635b96427d147d9f11d21832735a1ce7b

Aliases

arxiv: 1706.02040 · arxiv_version: 1706.02040v2 · doi: 10.48550/arxiv.1706.02040 · pith_short_12: 2GFJXF5GJAHV · pith_short_16: 2GFJXF5GJAHVEE4P · pith_short_8: 2GFJXF5G

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/2GFJXF5GJAHVEE4PEN2KFWEAGY \
  | 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: d18a9b97a6480f52138f2374a2d8803635b96427d147d9f11d21832735a1ce7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401493e1dbf76b6d1f05c07506d79dab47dd2dda02abf65c943901670be036da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-07T03:59:39Z",
    "title_canon_sha256": "04e7aa2752f235b67803b5629750406adf5131e58d28276aff7d9db87741d30b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02040",
    "kind": "arxiv",
    "version": 2
  }
}