Pith Number

pith:6XD4V4PO

pith:2012:6XD4V4PO2N7LAJOKBMSMVPL32T

not attested not anchored not stored refs pending

Stably weakly shadowing symplectomorphisms are partially hyperbolic

Mario Bessa, Sandra Vaz

arxiv:1203.5139 v1 · 2012-03-22 · 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{6XD4V4PO2N7LAJOKBMSMVPL32T}

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	2026-05-18T02:48:43.825679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c7caf1eed37eb025ca0b24cabd7bd4c71e38de5cc133aabe318f29400fd1ce

Aliases

arxiv: 1203.5139 · arxiv_version: 1203.5139v1 · doi: 10.48550/arxiv.1203.5139 · pith_short_12: 6XD4V4PO2N7L · pith_short_16: 6XD4V4PO2N7LAJOK · pith_short_8: 6XD4V4PO

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/6XD4V4PO2N7LAJOKBMSMVPL32T \
  | 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: f5c7caf1eed37eb025ca0b24cabd7bd4c71e38de5cc133aabe318f29400fd1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868e4829fa2629b98d97878c21c4d221ce5a3b7e38f4d48981dd69663c2c3671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-22T22:09:56Z",
    "title_canon_sha256": "6e89f7c2df32f54c7b1320d1e22749f01ce1b668c018c28d8947a0542a801085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5139",
    "kind": "arxiv",
    "version": 1
  }
}