Pith Number

pith:UMRUNHON

pith:2007:UMRUNHONYC3F43ZBQ5LOZPWIDG

not attested not anchored not stored refs pending

Experiments with moduli of quadrilaterals

Antti Rasila, Matti Vuorinen

arxiv:math/0703149 v1 · 2007-03-06 · math.NA · cs.NA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMRUNHONYC3F43ZBQ5LOZPWIDG}

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	2026-06-03T22:06:22.210651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a323469dcdc0b65e6f218756ecbec819910056efaf0c4cf2a2162e860e6293ea

Aliases

arxiv: math/0703149 · arxiv_version: math/0703149v1 · doi: 10.48550/arxiv.math/0703149 · pith_short_12: UMRUNHONYC3F · pith_short_16: UMRUNHONYC3F43ZB · pith_short_8: UMRUNHON

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/UMRUNHONYC3F43ZBQ5LOZPWIDG \
  | 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: a323469dcdc0b65e6f218756ecbec819910056efaf0c4cf2a2162e860e6293ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57d6ef08d5459f70dc18049acb1a26a3f0412ecac9db69d57716d0e94cbb1405",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2007-03-06T12:36:08Z",
    "title_canon_sha256": "b6dec6eef4a3beb1a87048b671751020bc9dbc9db9cb451a59ba5ac65e617a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703149",
    "kind": "arxiv",
    "version": 1
  }
}