Pith Number

pith:3LFG7XVP

pith:1997:3LFG7XVPVQKTKV7TSZQS2JR5OQ

not attested not anchored not stored refs pending

The Cosmological Flatness Problem and Limits on Dark Matter

George W. Collins, II (Case Western Reserve University)

arxiv:astro-ph/9703078 v1 · 1997-03-12 · 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{3LFG7XVPVQKTKV7TSZQS2JR5OQ}

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	2026-05-18T03:47:42.776136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daca6fdeafac153557f396612d263d7409ebfd26c828378a78bfeea77bc399c7

Aliases

arxiv: astro-ph/9703078 · arxiv_version: astro-ph/9703078v1 · doi: 10.48550/arxiv.astro-ph/9703078 · pith_short_12: 3LFG7XVPVQKT · pith_short_16: 3LFG7XVPVQKTKV7T · pith_short_8: 3LFG7XVP

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/3LFG7XVPVQKTKV7TSZQS2JR5OQ \
  | 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: daca6fdeafac153557f396612d263d7409ebfd26c828378a78bfeea77bc399c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854fcb11373d41469fdab9583fb42193f2f11f2b61716202771f78b2464ad65b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-03-12T00:48:51Z",
    "title_canon_sha256": "0b93c47bc32a3da7303509002e474552a6a3eae92be82de33455a7542c3c2793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9703078",
    "kind": "arxiv",
    "version": 1
  }
}