Pith Number

pith:SP7TKRLA

pith:2006:SP7TKRLAEJN7B4O2V3Y3D4LL7W

not attested not anchored not stored refs pending

Topological structure of (partially) hyperbolic sets with positive volume

Jose F. Alves, Vilton Pinheiro

arxiv:math/0603148 v1 · 2006-03-06 · 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{SP7TKRLAEJN7B4O2V3Y3D4LL7W}

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	2026-07-04T14:53:57.346859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ff354560225bf0f1daaef1b1f16bfd8fb5129ec113bb1acc85e0b3191fcf69

Aliases

arxiv: math/0603148 · arxiv_version: math/0603148v1 · doi: 10.48550/arxiv.math/0603148 · pith_short_12: SP7TKRLAEJN7 · pith_short_16: SP7TKRLAEJN7B4O2 · pith_short_8: SP7TKRLA

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/SP7TKRLAEJN7B4O2V3Y3D4LL7W \
  | 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: 93ff354560225bf0f1daaef1b1f16bfd8fb5129ec113bb1acc85e0b3191fcf69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf38d0fcd781fa82e5bb37ac396430a3794470bbe411182f7459bd22e6a14d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-03-06T18:36:43Z",
    "title_canon_sha256": "0744a7f9a5a0ecce7b1907cbc551bce195395aad6d52ee0c2d8f50329e29ffb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603148",
    "kind": "arxiv",
    "version": 1
  }
}