Pith Number

pith:NMOXJB47

pith:2010:NMOXJB47KDFCVC3DFPTV4ESUZD

not attested not anchored not stored refs pending

Dense area-preserving homeomorphisms have zero Lyapunov exponents

Cesar Silva, Mario Bessa

arxiv:1004.0641 v2 · 2010-04-05 · 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{NMOXJB47KDFCVC3DFPTV4ESUZD}

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	2026-05-18T04:06:19.255516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1d74879f50ca2a8b632be75e1254c8d35e4f653111b799f66c304439434475

Aliases

arxiv: 1004.0641 · arxiv_version: 1004.0641v2 · doi: 10.48550/arxiv.1004.0641 · pith_short_12: NMOXJB47KDFC · pith_short_16: NMOXJB47KDFCVC3D · pith_short_8: NMOXJB47

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/NMOXJB47KDFCVC3DFPTV4ESUZD \
  | 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: 6b1d74879f50ca2a8b632be75e1254c8d35e4f653111b799f66c304439434475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e598fc435540902026ca2b82a650e9a45a3a002505031e0c40e6660df313f2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-05T14:42:42Z",
    "title_canon_sha256": "12abe409e0c4b85a1c4bab5fd2022f7e055c1721516950ab622cccf85306e4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0641",
    "kind": "arxiv",
    "version": 2
  }
}