Pith Number

pith:PRHKPQFM

pith:2009:PRHKPQFMHDNWAJ5MRKWZTVKCEH

not attested not anchored not stored refs pending

On homotopy types of complements of analytic sets and Milnor fibres

Javier Fernandez de Bobadilla

arxiv:0907.2176 v3 · 2009-07-13 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRHKPQFMHDNWAJ5MRKWZTVKCEH}

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	2026-05-18T04:28:36.589546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4ea7c0ac38db6027ac8aad99d54221d47fb02360d20becccf9b141ded82c01

Aliases

arxiv: 0907.2176 · arxiv_version: 0907.2176v3 · doi: 10.48550/arxiv.0907.2176 · pith_short_12: PRHKPQFMHDNW · pith_short_16: PRHKPQFMHDNWAJ5M · pith_short_8: PRHKPQFM

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/PRHKPQFMHDNWAJ5MRKWZTVKCEH \
  | 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: 7c4ea7c0ac38db6027ac8aad99d54221d47fb02360d20becccf9b141ded82c01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c032f3ddb321aac8e9b3d51059e6cea2a1cce8ca01166e8b8fcc036e908ac7ba",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-13T14:56:32Z",
    "title_canon_sha256": "86e528fddc698452395fc4afb66451257f90cf0bd8f4bacc1c46cf33e281a0f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2176",
    "kind": "arxiv",
    "version": 3
  }
}