Pith Number

pith:TFMQF24K

pith:2013:TFMQF24KNF6BQZCUCDFL5ENLKU

not attested not anchored not stored refs pending

Finite type domains with hyperbolic orbit accumulation points

Bingyuan Liu

arxiv:1305.0046 v3 · 2013-04-30 · 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{TFMQF24KNF6BQZCUCDFL5ENLKU}

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	2026-05-18T03:02:34.974693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995902eb8a697c18645410cabe91ab5510e159ab09e0c9a538209f5492aa0785

Aliases

arxiv: 1305.0046 · arxiv_version: 1305.0046v3 · doi: 10.48550/arxiv.1305.0046 · pith_short_12: TFMQF24KNF6B · pith_short_16: TFMQF24KNF6BQZCU · pith_short_8: TFMQF24K

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/TFMQF24KNF6BQZCUCDFL5ENLKU \
  | 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: 995902eb8a697c18645410cabe91ab5510e159ab09e0c9a538209f5492aa0785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3791d94e3a6bef2b740bc90c681824ba876a662c6f606c91c2dc793eacaaa20e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-30T22:48:04Z",
    "title_canon_sha256": "06b43d0e80ef17f217ffe891b44b43f482e793586d40481843d9759a2e31f9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0046",
    "kind": "arxiv",
    "version": 3
  }
}