Pith Number

pith:TCQP2WWH

pith:2009:TCQP2WWHGXYYCDAFDIZBO62DU4

not attested not anchored not stored refs pending

New Criteria of Generic Hyperbolicity based on Periodic Points

Armando Castro

arxiv:0906.2240 v2 · 2009-06-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCQP2WWHGXYYCDAFDIZBO62DU4}

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	2026-05-18T03:53:52.675356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a0fd5ac735f1810c051a32177b43a71f369b1140962e5287be5f62b7f69fe6

Aliases

arxiv: 0906.2240 · arxiv_version: 0906.2240v2 · doi: 10.48550/arxiv.0906.2240 · pith_short_12: TCQP2WWHGXYY · pith_short_16: TCQP2WWHGXYYCDAF · pith_short_8: TCQP2WWH

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/TCQP2WWHGXYYCDAFDIZBO62DU4 \
  | 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: 98a0fd5ac735f1810c051a32177b43a71f369b1140962e5287be5f62b7f69fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547d8d60916f5bae0a93d8712fef9c9560d2257c1deb71bf0a3cca6be7de8b4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-12T01:31:29Z",
    "title_canon_sha256": "cc86374171e1fec3a26b8c460c256f93e5f1d354c050f02cd2062cfcfc4424cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2240",
    "kind": "arxiv",
    "version": 2
  }
}