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Pith Number

pith:X5MDHCM7

pith:2022:X5MDHCM7TVHS4HAFCB6N2PDOUM
not attested not anchored not stored refs pending

The emptiness inside: Finding gaps, valleys, and lacunae with geometric data analysis

David W. Hogg, Gabriella Contardo, Jason A.S. Hunt, Joshua E.G. Peek, Yen-Chi Chen

arxiv:2201.10674 v2 · 2022-01-25 · astro-ph.IM · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X5MDHCM7TVHS4HAFCB6N2PDOUM}

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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

Receipt and verification
First computed 2026-07-05T09:08:59.474212Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf5833899f9d4f2e1c05107cdd3c6ea32e70192b993c769572be70d587f513e2

Aliases

arxiv: 2201.10674 · arxiv_version: 2201.10674v2 · doi: 10.48550/arxiv.2201.10674 · pith_short_12: X5MDHCM7TVHS · pith_short_16: X5MDHCM7TVHS4HAF · pith_short_8: X5MDHCM7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5MDHCM7TVHS4HAFCB6N2PDOUM \
  | 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: bf5833899f9d4f2e1c05107cdd3c6ea32e70192b993c769572be70d587f513e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e34cf134cfd4dd3dfacd860fe4d94de8684a0ddfbf21f2c8c5ac0e756800b5d8",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2022-01-25T23:31:48Z",
    "title_canon_sha256": "2fded12be623b63a01914ed8745cbb52562fc50d439f038521e1cd6daf674b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.10674",
    "kind": "arxiv",
    "version": 2
  }
}