Pith Number

pith:KBIVXINU

pith:2009:KBIVXINU47HCACYMO5MUVIFD5F

not attested not anchored not stored refs pending

Invariant random fields in vector bundles and application to cosmology

Anatoliy Malyarenko

arxiv:0907.4620 v1 · 2009-07-27 · math.PR · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBIVXINU47HCACYMO5MUVIFD5F}

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	2026-05-18T02:37:52.417062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50515ba1b4e7ce200b0c77594aa0a3e9706237358c8a7e79bfb0d552b27827fa

Aliases

arxiv: 0907.4620 · arxiv_version: 0907.4620v1 · doi: 10.48550/arxiv.0907.4620 · pith_short_12: KBIVXINU47HC · pith_short_16: KBIVXINU47HCACYM · pith_short_8: KBIVXINU

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/KBIVXINU47HCACYMO5MUVIFD5F \
  | 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: 50515ba1b4e7ce200b0c77594aa0a3e9706237358c8a7e79bfb0d552b27827fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e15029a0a9f077d7e3fcfa3225b454852535512751ea9d2653f679b4e943b01e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-27T13:08:56Z",
    "title_canon_sha256": "07482c8eb09c5e0e5d452b1f973bd8b46aba5ca14b48423bb85237840efe49c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4620",
    "kind": "arxiv",
    "version": 1
  }
}