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Pith Number

pith:DHSPUJPW

pith:2009:DHSPUJPWEYULBGS6Y3LSR6NXUN
not attested not anchored not stored refs pending

On moduli of rings and quadrilaterals: algorithms and experiments

Antti Rasila, Harri Hakula, Matti Vuorinen

arxiv:0906.1261 v4 · 2009-06-06 · math.NA · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DHSPUJPWEYULBGS6Y3LSR6NXUN}

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 2026-05-18T04:05:04.404677Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

19e4fa25f62628b09a5ec6d728f9b7a35cf81a75deb0bf02513a1d40232d6d5e

Aliases

arxiv: 0906.1261 · arxiv_version: 0906.1261v4 · doi: 10.48550/arxiv.0906.1261 · pith_short_12: DHSPUJPWEYUL · pith_short_16: DHSPUJPWEYULBGS6 · pith_short_8: DHSPUJPW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHSPUJPWEYULBGS6Y3LSR6NXUN \
  | 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: 19e4fa25f62628b09a5ec6d728f9b7a35cf81a75deb0bf02513a1d40232d6d5e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "39f53de2b1df3161f982bb88ef4a35d7b99702e3b23eff62852cabcaed12e902",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-06-06T10:32:27Z",
    "title_canon_sha256": "483c84569d63280cf95f4d1690f59415e45fa56431c733b62f04b464515df2cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1261",
    "kind": "arxiv",
    "version": 4
  }
}