Pith Number

pith:SWZMOHVG

pith:2021:SWZMOHVGJWVZ5EGSUEXESKX62A

not attested not anchored not stored refs pending

Multifractal analysis of geodesic flows on surfaces without focal points

Kiho Park, Tianyu Wang

arxiv:2104.01044 v1 · 2021-04-02 · 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{SWZMOHVGJWVZ5EGSUEXESKX62A}

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	2026-07-05T02:28:39.009905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95b2c71ea64dab9e90d2a12e492afed012d799dfa1874882d39f7c952e97ae8d

Aliases

arxiv: 2104.01044 · arxiv_version: 2104.01044v1 · doi: 10.48550/arxiv.2104.01044 · pith_short_12: SWZMOHVGJWVZ · pith_short_16: SWZMOHVGJWVZ5EGS · pith_short_8: SWZMOHVG

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/SWZMOHVGJWVZ5EGSUEXESKX62A \
  | 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: 95b2c71ea64dab9e90d2a12e492afed012d799dfa1874882d39f7c952e97ae8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b6046a59d89819dbd54263344a36554af2518463eab3c355ede3d8a745e174",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-04-02T13:31:33Z",
    "title_canon_sha256": "7ba5088b5b1ddded4204a419ea9de4428a5e6b6237b437b7c207fd3acde8dff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.01044",
    "kind": "arxiv",
    "version": 1
  }
}