Pith Number

pith:A252OXA5

pith:2001:A252OXA56635PRS7ZWA5QRTVZY

not attested not anchored not stored refs pending

Space, Time, and Matter: Cosmological Parameters 2001

Lawrence M. Krauss

arxiv:astro-ph/0102305 v1 · 2001-02-17 · 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{A252OXA56635PRS7ZWA5QRTVZY}

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	2026-05-18T01:00:27.572783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06bba75c1df7b7d7c65fcd81d84675ce14cc671d9c658c26d0bd4bd5c72cb0af

Aliases

arxiv: astro-ph/0102305 · arxiv_version: astro-ph/0102305v1 · doi: 10.48550/arxiv.astro-ph/0102305 · pith_short_12: A252OXA56635 · pith_short_16: A252OXA56635PRS7 · pith_short_8: A252OXA5

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/A252OXA56635PRS7ZWA5QRTVZY \
  | 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: 06bba75c1df7b7d7c65fcd81d84675ce14cc671d9c658c26d0bd4bd5c72cb0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb4e8e834f208c4b556b3ca27113960559f230f437c3ec4e71f9346e79d8de0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-02-17T20:20:16Z",
    "title_canon_sha256": "0693660657f098a7945bd17bafecd9a4330c3a7b318e107477778a1c8279ea0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0102305",
    "kind": "arxiv",
    "version": 1
  }
}