Pith Number

pith:7DKEYYND

pith:2017:7DKEYYNDEV4FMJUFC3XLT76EW3

not attested not anchored not stored refs pending

Circle patterns with obtuse exterior intersection angles

Ze Zhou

arxiv:1703.01768 v3 · 2017-03-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7DKEYYNDEV4FMJUFC3XLT76EW3}

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.

Cited by

2 papers in Pith

Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space

Circle Pattern Theorem for Quasi-simplicial Triangulated Surfaces

Receipt and verification

First computed	2026-07-05T00:20:49.840525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d44c61a3257856268516eeb9ffc4b6d270d776615d135e683d8ef5aa734a9d

Aliases

arxiv: 1703.01768 · arxiv_version: 1703.01768v3 · doi: 10.48550/arxiv.1703.01768 · pith_short_12: 7DKEYYNDEV4F · pith_short_16: 7DKEYYNDEV4FMJUF · pith_short_8: 7DKEYYND

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/7DKEYYNDEV4FMJUFC3XLT76EW3 \
  | 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: f8d44c61a3257856268516eeb9ffc4b6d270d776615d135e683d8ef5aa734a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14c258b34fa2ea44bfbea403f84a028788434c2aee93d8ef68771a80eb7b5a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-06T09:01:32Z",
    "title_canon_sha256": "ee744b3e55094a3bab856dd434732caf85475adad4a0bf062ada929883acf8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01768",
    "kind": "arxiv",
    "version": 3
  }
}