Pith Number

pith:TQJU5WMZ

pith:2011:TQJU5WMZEEN7TAWASGEB4KIBQT

not attested not anchored not stored refs pending

Partial hyperbolicity and central shadowing

Sergey Kryzhevich, Sergey Tikhomirov

arxiv:1112.4272 v2 · 2011-12-19 · 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{TQJU5WMZEEN7TAWASGEB4KIBQT}

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	2026-05-18T04:02:26.840388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c134ed999211bf982c091881e290184f04b9353387aab5bfd3c41ebb646f13c

Aliases

arxiv: 1112.4272 · arxiv_version: 1112.4272v2 · doi: 10.48550/arxiv.1112.4272 · pith_short_12: TQJU5WMZEEN7 · pith_short_16: TQJU5WMZEEN7TAWA · pith_short_8: TQJU5WMZ

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/TQJU5WMZEEN7TAWASGEB4KIBQT \
  | 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: 9c134ed999211bf982c091881e290184f04b9353387aab5bfd3c41ebb646f13c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33afad1d9bc7cf25f9314cace550fa27492f7443fc5cedd52b58a498ee37427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-19T09:17:10Z",
    "title_canon_sha256": "0beb4a9691f77cc0f9dcfad864c110bcc90c9f5bbb920c3868091db064a975b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4272",
    "kind": "arxiv",
    "version": 2
  }
}