Pith Number

pith:GA4HEKI4

pith:2012:GA4HEKI4H4HTGLOYL6NQEAA22S

not attested not anchored not stored refs pending

Multidimensional Probabilistic Rearrangement Invariant Spaces: A New Approach

E. Ostrovsky, L. Sirota

arxiv:1202.3130 v1 · 2012-02-14 · 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{GA4HEKI4H4HTGLOYL6NQEAA22S}

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	2026-05-18T04:02:24.044939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303872291c3f0f332dd85f9b02001ad4b30a12f551dffeb55389dad4f627feaf

Aliases

arxiv: 1202.3130 · arxiv_version: 1202.3130v1 · doi: 10.48550/arxiv.1202.3130 · pith_short_12: GA4HEKI4H4HT · pith_short_16: GA4HEKI4H4HTGLOY · pith_short_8: GA4HEKI4

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/GA4HEKI4H4HTGLOYL6NQEAA22S \
  | 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: 303872291c3f0f332dd85f9b02001ad4b30a12f551dffeb55389dad4f627feaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90953a7d41489e026c9063982c5dd47df44d5ec311f43651c77ee61e8a5fcb47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-14T20:12:21Z",
    "title_canon_sha256": "015a27a54ed11a70f2dfea7ab131b712a6438e324f13e21b522f83a54426cdd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3130",
    "kind": "arxiv",
    "version": 1
  }
}