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Pith Number

pith:Z3CZOOC7

pith:2013:Z3CZOOC7VORIXDRIDRNCGOZAHE
not attested not anchored not stored refs pending

Focal ratio degradation in lightly-fused hexabundles

Jon Lawrence, Joss Bland-Hawthorn, Julia Bryant, Lisa Fogarty, Scott Croom

arxiv:1311.6865 v1 · 2013-11-27 · astro-ph.IM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z3CZOOC7VORIXDRIDRNCGOZAHE}

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 2026-05-18T01:46:05.843225Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cec597385faba28b8e281c5a233b203902e5cae8ea3eacb5608226982985bd9f

Aliases

arxiv: 1311.6865 · arxiv_version: 1311.6865v1 · doi: 10.48550/arxiv.1311.6865 · pith_short_12: Z3CZOOC7VORI · pith_short_16: Z3CZOOC7VORIXDRI · pith_short_8: Z3CZOOC7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z3CZOOC7VORIXDRIDRNCGOZAHE \
  | 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: cec597385faba28b8e281c5a233b203902e5cae8ea3eacb5608226982985bd9f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b3dec12ef78eb09ccf7e8ce2832351fc8f131372a1c4dba8ee703d0451020c6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2013-11-27T04:08:46Z",
    "title_canon_sha256": "76cde98de9ad7af0b30c18a461195349bfe7233631185462cbb6b5f181ade827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6865",
    "kind": "arxiv",
    "version": 1
  }
}