Pith Number

pith:JB5RCTQ4

pith:2004:JB5RCTQ4KLFT2XCQZRGIDCI5MZ

not attested not anchored not stored refs pending

Expansion, Geometry, and Gravity

Marc Kamionkowski, Robert R. Caldwell

arxiv:astro-ph/0403003 v1 · 2004-02-27 · 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{JB5RCTQ4KLFT2XCQZRGIDCI5MZ}

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	2026-07-04T16:43:08.320858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487b114e1c52cb3d5c50cc4c81891d6660eb9d8c505f3def40da258ad600da8a

Aliases

arxiv: astro-ph/0403003 · arxiv_version: astro-ph/0403003v1 · doi: 10.48550/arxiv.astro-ph/0403003 · pith_short_12: JB5RCTQ4KLFT · pith_short_16: JB5RCTQ4KLFT2XCQ · pith_short_8: JB5RCTQ4

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/JB5RCTQ4KLFT2XCQZRGIDCI5MZ \
  | 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: 487b114e1c52cb3d5c50cc4c81891d6660eb9d8c505f3def40da258ad600da8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5932727feb5a32529aaf431a8988923bbc0632ddb88808697c2cfa1510f953bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-02-27T21:01:51Z",
    "title_canon_sha256": "5dede01947e76679c78324f89e760bc2ea56132869b8b7a0a861767d4da401a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0403003",
    "kind": "arxiv",
    "version": 1
  }
}