Pith Number

pith:F4YMVTGA

pith:2023:F4YMVTGAVNEUWXZRJSKHRPY3LG

not attested not anchored not stored refs pending

Topology of first integrals via Milnor fibrations II

Euripedes da Silva, Fernando Reis, Maico Ribeiro

arxiv:2308.13359 v1 · 2023-08-25 · math.DS · math.AP · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4YMVTGAVNEUWXZRJSKHRPY3LG}

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	2026-07-05T06:44:42.783112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f30caccc0ab494b5f314c9478bf1b599d877104819b2577b31e26ee4805a48e

Aliases

arxiv: 2308.13359 · arxiv_version: 2308.13359v1 · doi: 10.48550/arxiv.2308.13359 · pith_short_12: F4YMVTGAVNEU · pith_short_16: F4YMVTGAVNEUWXZR · pith_short_8: F4YMVTGA

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/F4YMVTGAVNEUWXZRJSKHRPY3LG \
  | 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: 2f30caccc0ab494b5f314c9478bf1b599d877104819b2577b31e26ee4805a48e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8477782c2e35d70c2ebcf239f4a493c96a9a8d5e6eec7e97a2ea655e5f2ed1",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-08-25T13:10:26Z",
    "title_canon_sha256": "b78f7804cdf5fd1a7b995992a4626775ff19b270cfe4d47141cf6df2836508d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.13359",
    "kind": "arxiv",
    "version": 1
  }
}