Pith Number

pith:G5SL5CZS

pith:2015:G5SL5CZSAPZEGXMUQ4KNT64YQA

not attested not anchored not stored refs pending

On metric, dynamical, probabilistic and fractal phenomena connected with the second Ostrogradsky expansion

Grygoriy Torbin, Iryna Pratsiovyta, Sergio Albeverio

arxiv:1506.04353 v1 · 2015-06-14 · 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{G5SL5CZSAPZEGXMUQ4KNT64YQA}

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	2026-05-18T01:49:54.774199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3764be8b3203f2435d948714d9fb98802a61989ce2b5213299bba6a1ffa43fc3

Aliases

arxiv: 1506.04353 · arxiv_version: 1506.04353v1 · doi: 10.48550/arxiv.1506.04353 · pith_short_12: G5SL5CZSAPZE · pith_short_16: G5SL5CZSAPZEGXMU · pith_short_8: G5SL5CZS

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/G5SL5CZSAPZEGXMUQ4KNT64YQA \
  | 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: 3764be8b3203f2435d948714d9fb98802a61989ce2b5213299bba6a1ffa43fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab49bc0935905250c5d24d0890dc3a25325168981ae349cf65289383bd6a1ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-14T06:25:16Z",
    "title_canon_sha256": "86f6a014c561995ee78db76d0c24c62eb7268710dbfa94d363b634ed56b65f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04353",
    "kind": "arxiv",
    "version": 1
  }
}