Pith Number

pith:IZEGNABQ

pith:2011:IZEGNABQ42U3QI7O5DK2W3WQQ3

not attested not anchored not stored refs pending

A uniform contraction principle for bounded Apollonian embeddings

Hans Henrik Rugh, Lo\"ic Dubois

arxiv:1102.4212 v1 · 2011-02-21 · math.MG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZEGNABQ42U3QI7O5DK2W3WQQ3}

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	2026-05-18T04:28:10.723338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4648668030e6a9b823eee8d5ab6ed086d55ab64426ee85ac2e1c13014a3b4a97

Aliases

arxiv: 1102.4212 · arxiv_version: 1102.4212v1 · doi: 10.48550/arxiv.1102.4212 · pith_short_12: IZEGNABQ42U3 · pith_short_16: IZEGNABQ42U3QI7O · pith_short_8: IZEGNABQ

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/IZEGNABQ42U3QI7O5DK2W3WQQ3 \
  | 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: 4648668030e6a9b823eee8d5ab6ed086d55ab64426ee85ac2e1c13014a3b4a97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d844c1e9b402fe70935a5f227d23c5b4b5da7d9f79fc7279b3d52d65077b6138",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-02-21T13:07:01Z",
    "title_canon_sha256": "ed918e678fa16b12c09054445a0ac2f145a1283fe2acf06681e14970d4d8d9d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4212",
    "kind": "arxiv",
    "version": 1
  }
}