Pith Number

pith:FCWRA2EP

pith:1997:FCWRA2EPMXM3DHRNM3WBXHMF5R

not attested not anchored not stored refs pending

Transition from Clumpy to Smooth Angular Diameter Distances

Eric V. Linder (UMass - Amherst)

arxiv:astro-ph/9707349 v2 · 1997-07-31 · 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{FCWRA2EPMXM3DHRNM3WBXHMF5R}

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.

Cited by

1 paper in Pith

Light path averages in spacetimes with non-vanishing average spatial curvature

Receipt and verification

First computed	2026-07-04T16:03:09.728558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28ad10688f65d9b19e2d66ec1b9d85ec5a9551c56d10c63a61e63e4d5f798532

Aliases

arxiv: astro-ph/9707349 · arxiv_version: astro-ph/9707349v2 · doi: 10.48550/arxiv.astro-ph/9707349 · pith_short_12: FCWRA2EPMXM3 · pith_short_16: FCWRA2EPMXM3DHRN · pith_short_8: FCWRA2EP

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/FCWRA2EPMXM3DHRNM3WBXHMF5R \
  | 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: 28ad10688f65d9b19e2d66ec1b9d85ec5a9551c56d10c63a61e63e4d5f798532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "701a07aac2429d6cc4db4f2f39a56c53caa8a5585d6d7e49977e807133051415",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-07-31T17:08:14Z",
    "title_canon_sha256": "64a5f24799c13b821081412597f6d0a0df0cefa1a0fa9f6bfa3ead20d87328f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9707349",
    "kind": "arxiv",
    "version": 2
  }
}