Pith Number

pith:SCKAPU6F

pith:1998:SCKAPU6F2N42OTUUQJ2F2UZTHK

not attested not anchored not stored refs pending

Horizon problem in a closed universe dominated by fluid with negative pressure

Jerzy Stelmach

arxiv:astro-ph/9810448 v1 · 1998-10-28 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCKAPU6F2N42OTUUQJ2F2UZTHK}

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	2026-05-18T00:33:44.703456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

909407d3c5d379a74e9482745d53333a8ece8f16129d853f84a21e53aaf22c61

Aliases

arxiv: astro-ph/9810448 · arxiv_version: astro-ph/9810448v1 · doi: 10.48550/arxiv.astro-ph/9810448 · pith_short_12: SCKAPU6F2N42 · pith_short_16: SCKAPU6F2N42OTUU · pith_short_8: SCKAPU6F

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/SCKAPU6F2N42OTUUQJ2F2UZTHK \
  | 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: 909407d3c5d379a74e9482745d53333a8ece8f16129d853f84a21e53aaf22c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b644ef4a505fbe50b2de0a2eee6d42fc5d5ad0b99e3d1b4a723922b30bbf03a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-10-28T07:58:40Z",
    "title_canon_sha256": "5b4c11fab5bfccd785d3d80067f4fc0e718aca26076222a00ddaf55d6a14ed37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9810448",
    "kind": "arxiv",
    "version": 1
  }
}