Pith Number

pith:HPXVB4XU

pith:2024:HPXVB4XUPSVDD3ESVMEB2SSAWL

not attested not anchored not stored refs pending

On four-dimensional Dehn twists and Milnor fibrations

Anubhav Mukherjee, Hokuto Konno, Jianfeng Lin, Juan Mu\~noz-Ech\'aniz

arxiv:2409.11961 v1 · 2024-09-18 · math.GT · math.AG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPXVB4XUPSVDD3ESVMEB2SSAWL}

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.

Cited by

2 papers in Pith

Diffeomorphism groups and gauge theory for families

Gauge theory for families

Receipt and verification

First computed	2026-07-05T09:08:40.277533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bef50f2f47caa31ec92ab081d4a40b2e3fa1d968ea6341d94d06d1e93049ea9

Aliases

arxiv: 2409.11961 · arxiv_version: 2409.11961v1 · doi: 10.48550/arxiv.2409.11961 · pith_short_12: HPXVB4XUPSVD · pith_short_16: HPXVB4XUPSVDD3ES · pith_short_8: HPXVB4XU

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/HPXVB4XUPSVDD3ESVMEB2SSAWL \
  | 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: 3bef50f2f47caa31ec92ab081d4a40b2e3fa1d968ea6341d94d06d1e93049ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46e74731b955049425ea77bba6796a23ba4cd21f7aa6cab8605301da96b5ca4",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-18T13:12:13Z",
    "title_canon_sha256": "ac0a2e2d9f43132766294f8414e4f0f6e2b5e75fc5c8ec4c27984921c80c17af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.11961",
    "kind": "arxiv",
    "version": 1
  }
}