Pith Number

pith:KEXK5JVP

pith:2025:KEXK5JVPPWUGMCBQFSMV5N2QPM

not attested not anchored not stored refs pending

A transversality theorem for multiple-point crossings under generic linear perturbations with Hausdorff measure estimates

Shunsuke Ichiki

arxiv:2510.00576 v3 · 2025-10-01 · math.GT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEXK5JVPPWUGMCBQFSMV5N2QPM}

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	2026-05-18T02:45:12.295245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

512eaea6af7da86608302c995eb7507b3054c9c19b6d5b1124304d04136d6e52

Aliases

arxiv: 2510.00576 · arxiv_version: 2510.00576v3 · doi: 10.48550/arxiv.2510.00576 · pith_short_12: KEXK5JVPPWUG · pith_short_16: KEXK5JVPPWUGMCBQ · pith_short_8: KEXK5JVP

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/KEXK5JVPPWUGMCBQFSMV5N2QPM \
  | 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: 512eaea6af7da86608302c995eb7507b3054c9c19b6d5b1124304d04136d6e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b934e0577452cb1736fd9841533fd119379c4de3f35b8e250d17c9812a07df0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-10-01T06:56:40Z",
    "title_canon_sha256": "f7c6e163ea0f019269183ec75317a9bd6d94908f63be36765c7e267074fb3908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.00576",
    "kind": "arxiv",
    "version": 3
  }
}