Pith Number

pith:VBDNZ3XL

pith:2014:VBDNZ3XL5HDXGX7YGFCES3VXAL

not attested not anchored not stored refs pending

On Milnor fibrations of mixed functions, $a_f$-condition and boundary stability

Mutsuo Oka

arxiv:1409.5275 v2 · 2014-09-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBDNZ3XL5HDXGX7YGFCES3VXAL}

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	2026-05-18T02:42:07.409776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a846dceeebe9c7735ff83144496eb702f86a169e4edc7fb6e20c6379d0164fe4

Aliases

arxiv: 1409.5275 · arxiv_version: 1409.5275v2 · doi: 10.48550/arxiv.1409.5275 · pith_short_12: VBDNZ3XL5HDX · pith_short_16: VBDNZ3XL5HDXGX7Y · pith_short_8: VBDNZ3XL

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/VBDNZ3XL5HDXGX7YGFCES3VXAL \
  | 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: a846dceeebe9c7735ff83144496eb702f86a169e4edc7fb6e20c6379d0164fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4972a8370531306a370d1fc624876fe2f9730e73aa90d7451115b1d77490a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-18T12:05:22Z",
    "title_canon_sha256": "f484c72da567b576751f492485f6b866511adebd1d6ec60b662c3f873ee32314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5275",
    "kind": "arxiv",
    "version": 2
  }
}