Pith Number

pith:K7PF4IGR

pith:1992:K7PF4IGRPXMHR5QHGYSZ4AMSFU

not attested not anchored not stored refs pending

Gravity's rainbow

George F. Smoot, Paul J. Steinhardt

arxiv:astro-ph/9212003 v1 · 1992-12-16 · 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{K7PF4IGRPXMHR5QHGYSZ4AMSFU}

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	2026-07-04T15:49:35.574541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57de5e20d17dd878f60736259e01922d0a9650741feb05530d83a0bf918b15a8

Aliases

arxiv: astro-ph/9212003 · arxiv_version: astro-ph/9212003v1 · doi: 10.48550/arxiv.astro-ph/9212003 · pith_short_12: K7PF4IGRPXMH · pith_short_16: K7PF4IGRPXMHR5QH · pith_short_8: K7PF4IGR

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/K7PF4IGRPXMHR5QHGYSZ4AMSFU \
  | 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: 57de5e20d17dd878f60736259e01922d0a9650741feb05530d83a0bf918b15a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad20eb6cd75c5df8d200777ad845e9c74677c959aaee9a9fc8009fef68ebe4a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1992-12-16T14:21:37Z",
    "title_canon_sha256": "695e08fd9dcb17abd9f621b4e2aa6edea8726428d5856643c5c3c002c8307d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9212003",
    "kind": "arxiv",
    "version": 1
  }
}