Pith Number

pith:F5XG4DZG

pith:2012:F5XG4DZGRIFR5MKPCILDOJBXBX

not attested not anchored not stored refs pending

Moran Sets and Hyperbolic Boundaries

Jun Jason Luo

arxiv:1206.1143 v2 · 2012-06-06 · math.MG · math.GN · 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{F5XG4DZGRIFR5MKPCILDOJBXBX}

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	2026-05-18T03:17:57.379708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6e6e0f268a0b1eb14f12163724370dc7cff53f9b95fd5ccccb4f5863feec75

Aliases

arxiv: 1206.1143 · arxiv_version: 1206.1143v2 · doi: 10.48550/arxiv.1206.1143 · pith_short_12: F5XG4DZGRIFR · pith_short_16: F5XG4DZGRIFR5MKP · pith_short_8: F5XG4DZG

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/F5XG4DZGRIFR5MKPCILDOJBXBX \
  | 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: 2f6e6e0f268a0b1eb14f12163724370dc7cff53f9b95fd5ccccb4f5863feec75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48925b156d3f958fd4370bdaef1f5bce7b0f7bc731c98c7a9d7dca3c5ef5927d",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-06T08:21:06Z",
    "title_canon_sha256": "66be0a5ef16ece13c37c0f7d14e5635a4b6e9ae635078c703c026aea320b0ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1143",
    "kind": "arxiv",
    "version": 2
  }
}