Pith Number

pith:MFIUZDAW

pith:2001:MFIUZDAWZVTVW7NDRYC23LSHGK

not attested not anchored not stored refs pending

The Size and Shape of Local Voids

M.Plionis (NOA-Greece), S.Basilakos (IC-UK)

arxiv:astro-ph/0106491 v2 · 2001-06-27 · 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{MFIUZDAWZVTVW7NDRYC23LSHGK}

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	2026-07-04T17:23:46.583197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61514c8c16cd675b7da38e05adae4732bbdf9e90515f61c828debdcce41169e0

Aliases

arxiv: astro-ph/0106491 · arxiv_version: astro-ph/0106491v2 · doi: 10.48550/arxiv.astro-ph/0106491 · pith_short_12: MFIUZDAWZVTV · pith_short_16: MFIUZDAWZVTVW7ND · pith_short_8: MFIUZDAW

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/MFIUZDAWZVTVW7NDRYC23LSHGK \
  | 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: 61514c8c16cd675b7da38e05adae4732bbdf9e90515f61c828debdcce41169e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a28c46acfe82db8bce661813c199e8cb5c766ad9a52e2aa5e87fa039ee60c11",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-06-27T10:59:43Z",
    "title_canon_sha256": "c54dcbc493050d42877596c41585ff69313c39d2ad5a913e593bbcda8a227be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0106491",
    "kind": "arxiv",
    "version": 2
  }
}