Pith Number

pith:3YZDWHJK

pith:2017:3YZDWHJK4T3LWGSSK4IPTQT36U

not attested not anchored not stored refs pending

Cosmic Divergence, Weak Cosmic Convergence, and Fixed Points at Infinity

Ernest K. Ryu

arxiv:1709.02838 v2 · 2017-09-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YZDWHJK4T3LWGSSK4IPTQT36U}

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	2026-05-18T00:14:16.303117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de323b1d2ae4f6bb1a525710f9c27bf52aed97f05a741fe3ebe0e3d86547f183

Aliases

arxiv: 1709.02838 · arxiv_version: 1709.02838v2 · doi: 10.48550/arxiv.1709.02838 · pith_short_12: 3YZDWHJK4T3L · pith_short_16: 3YZDWHJK4T3LWGSS · pith_short_8: 3YZDWHJK

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/3YZDWHJK4T3LWGSSK4IPTQT36U \
  | 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: de323b1d2ae4f6bb1a525710f9c27bf52aed97f05a741fe3ebe0e3d86547f183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2286286876471aec1de0c4aad84c67c4d23e4c02d28e4a2de61ab1bd4b09e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-08T19:15:16Z",
    "title_canon_sha256": "bb812c4d19535695d7c7090739dc85085226f074610263e6ac775ddaa2f0ae73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02838",
    "kind": "arxiv",
    "version": 2
  }
}