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Pith Number

pith:VHKYZAPC

pith:2014:VHKYZAPCLXOKNDTO2OHR2VHQSQ
not attested not anchored not stored refs pending

A spatial-correlation analysis of the cubic 3-torus topology based on the Planck 2013 data

R. Aurich

arxiv:1412.5355 v2 · 2014-12-17 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VHKYZAPCLXOKNDTO2OHR2VHQSQ}

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 2026-05-18T01:35:49.561668Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9d58c81e25ddca68e6ed38f1d54f09430c01a8e4531f186aaf901a23ec2bc08

Aliases

arxiv: 1412.5355 · arxiv_version: 1412.5355v2 · doi: 10.48550/arxiv.1412.5355 · pith_short_12: VHKYZAPCLXOK · pith_short_16: VHKYZAPCLXOKNDTO · pith_short_8: VHKYZAPC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VHKYZAPCLXOKNDTO2OHR2VHQSQ \
  | 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: a9d58c81e25ddca68e6ed38f1d54f09430c01a8e4531f186aaf901a23ec2bc08
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0e83b0e49b528597f464f8885d899e58422b6c8566604380ab0fd3c60c32211d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-12-17T12:08:26Z",
    "title_canon_sha256": "58d2d974b69ca02074a154f9dfcb8420dfb6ac84b53512b8c5af922af25534b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5355",
    "kind": "arxiv",
    "version": 2
  }
}