Pith Number

pith:FTKMG452

pith:2008:FTKMG452IHV24PT464NBS4NVNH

not attested not anchored not stored refs pending

Milnor fibrations of meromorphic functions

Anne Pichon, Arnaud Bodin, Jose Seade

arxiv:0810.3081 v1 · 2008-10-17 · math.AG · 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{FTKMG452IHV24PT464NBS4NVNH}

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	2026-05-18T02:58:11.025777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd4c373ba41ebae3e7cf71a1971b569cda27b96fc04b6e4028c81fb360c1526

Aliases

arxiv: 0810.3081 · arxiv_version: 0810.3081v1 · doi: 10.48550/arxiv.0810.3081 · pith_short_12: FTKMG452IHV2 · pith_short_16: FTKMG452IHV24PT4 · pith_short_8: FTKMG452

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/FTKMG452IHV24PT464NBS4NVNH \
  | 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: 2cd4c373ba41ebae3e7cf71a1971b569cda27b96fc04b6e4028c81fb360c1526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c897c067083898d0e9f5af40a7c4b80bf6c180ccf0fba586b3150cf6d6a645",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-17T08:16:49Z",
    "title_canon_sha256": "efb2c91853cf9eedb137ba63be4530cfaa1b555e04a11552b969efcb6ec3ad94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3081",
    "kind": "arxiv",
    "version": 1
  }
}