Pith Number

pith:LPH4RLIO

pith:2018:LPH4RLIO35WX3ZLCSWWX6YQF7C

not attested not anchored not stored refs pending

Almost sure convergence on chaoses

Guangqu Zheng, Guillaume Poly

arxiv:1809.02477 v1 · 2018-09-07 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPH4RLIO35WX3ZLCSWWX6YQF7C}

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	2026-05-17T23:52:58.815481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcfc8ad0edf6d7de56295ad7f6205f8b466a38f2758f3c8a7fae40205a7007d

Aliases

arxiv: 1809.02477 · arxiv_version: 1809.02477v1 · doi: 10.48550/arxiv.1809.02477 · pith_short_12: LPH4RLIO35WX · pith_short_16: LPH4RLIO35WX3ZLC · pith_short_8: LPH4RLIO

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/LPH4RLIO35WX3ZLCSWWX6YQF7C \
  | 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: 5bcfc8ad0edf6d7de56295ad7f6205f8b466a38f2758f3c8a7fae40205a7007d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c710df2493cf3bc3399c5f6009691c3f6f4d8897892582866aa846d50445f5cc",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-07T13:46:43Z",
    "title_canon_sha256": "f6a622f0ecbfbe3562d6baf986a3009006ba1b9974aafe3e84ee8e7cf1b86227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02477",
    "kind": "arxiv",
    "version": 1
  }
}