Pith Number

pith:H6JMS4Y3

pith:2016:H6JMS4Y35EKEQ3HYMAXTWGSTZF

not attested not anchored not stored refs pending

On shadowing and hyperbolicity for geodesic flows on surfaces

Joao Lopes Dias, Maria Joana Torres, Mario Bessa

arxiv:1605.03332 v1 · 2016-05-11 · 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{H6JMS4Y35EKEQ3HYMAXTWGSTZF}

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	2026-05-18T00:41:23.124072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f92c9731be914486cf8602f3b1a53c95aa5bcb179ca7aa20a33eb640ec7150d

Aliases

arxiv: 1605.03332 · arxiv_version: 1605.03332v1 · doi: 10.48550/arxiv.1605.03332 · pith_short_12: H6JMS4Y35EKE · pith_short_16: H6JMS4Y35EKEQ3HY · pith_short_8: H6JMS4Y3

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/H6JMS4Y35EKEQ3HYMAXTWGSTZF \
  | 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: 3f92c9731be914486cf8602f3b1a53c95aa5bcb179ca7aa20a33eb640ec7150d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ab39ec24e71103be91af2099e8abe13fac94b5e689852901743e625aeab0969",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-11T08:42:06Z",
    "title_canon_sha256": "707ced60ea3dddfabcb5191852737d038de07ab96ec191b79c92013d3056bec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03332",
    "kind": "arxiv",
    "version": 1
  }
}