Pith Number

pith:6GLHEOXR

pith:2007:6GLHEOXRQYPT3ZINVAVKVSLZ7W

not attested not anchored not stored refs pending

Euclidean and hyperbolic lenghs of images of arcs

A. F. Beardon, T. K. Carne

arxiv:0711.0219 v1 · 2007-11-01 · 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{6GLHEOXRQYPT3ZINVAVKVSLZ7W}

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	2026-05-18T02:58:12.112951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f196723af1861f3de50da82aaac979fd85402b9f8017e7754294ba496693b1cc

Aliases

arxiv: 0711.0219 · arxiv_version: 0711.0219v1 · doi: 10.48550/arxiv.0711.0219 · pith_short_12: 6GLHEOXRQYPT · pith_short_16: 6GLHEOXRQYPT3ZIN · pith_short_8: 6GLHEOXR

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/6GLHEOXRQYPT3ZINVAVKVSLZ7W \
  | 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: f196723af1861f3de50da82aaac979fd85402b9f8017e7754294ba496693b1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda1bdc368f28114d82346562aba870f9ba260c8d98ec24f1340e39faa376e2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2007-11-01T21:24:22Z",
    "title_canon_sha256": "419dce500274c7db3de4d2ed283a22435372cf1b89eb88c682435308ade5db64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0219",
    "kind": "arxiv",
    "version": 1
  }
}