Pith Number

pith:CAFQGANV

pith:2025:CAFQGANVHTHROUMUI3COZXSWEA

not attested not anchored not stored refs pending

Continuity of Hausdorff Dimension at Hopf Bifurcation

Oyran Rayzzaro, Vanderlei Horita

arxiv:2502.12812 v2 · 2025-02-18 · 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{CAFQGANVHTHROUMUI3COZXSWEA}

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	2026-05-28T01:04:26.785675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100b0301b53ccf17519446c4ecde56202d21eda05507660ccb203c05b1be706c

Aliases

arxiv: 2502.12812 · arxiv_version: 2502.12812v2 · doi: 10.48550/arxiv.2502.12812 · pith_short_12: CAFQGANVHTHR · pith_short_16: CAFQGANVHTHROUMU · pith_short_8: CAFQGANV

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/CAFQGANVHTHROUMUI3COZXSWEA \
  | 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: 100b0301b53ccf17519446c4ecde56202d21eda05507660ccb203c05b1be706c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa756d76266114640e3556e26c89461a9ea47326d1a2965dd15c1340452fc5c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-02-18T12:16:11Z",
    "title_canon_sha256": "268dc4306331933086704a6806929a1ab458dc2b78349f84d66b17489fd1f145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.12812",
    "kind": "arxiv",
    "version": 2
  }
}