Pith Number

pith:66CXMNA2

pith:2012:66CXMNA2GX7PCLFXIWBILT5OIV

not attested not anchored not stored refs pending

Stable weakly shadowable volume-preserving systems are volume-hyperbolic

Manseob Lee, Mario Bessa, Sandra Vaz

arxiv:1207.5546 v1 · 2012-07-23 · 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{66CXMNA2GX7PCLFXIWBILT5OIV}

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	2026-05-18T03:50:22.605835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78576341a35fef12cb7458285cfae455fa6c30dfa7a12c564dddf0fae05768a

Aliases

arxiv: 1207.5546 · arxiv_version: 1207.5546v1 · doi: 10.48550/arxiv.1207.5546 · pith_short_12: 66CXMNA2GX7P · pith_short_16: 66CXMNA2GX7PCLFX · pith_short_8: 66CXMNA2

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/66CXMNA2GX7PCLFXIWBILT5OIV \
  | 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: f78576341a35fef12cb7458285cfae455fa6c30dfa7a12c564dddf0fae05768a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e869c8d71058276976e39d72088584eccf276d59ff2c66f305b0e514cd4a353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-23T21:44:01Z",
    "title_canon_sha256": "4957840f11eaedd6283420bfd29637ec3f330d7a1c73803b0d058d2cd76efe70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5546",
    "kind": "arxiv",
    "version": 1
  }
}