Pith Number

pith:7QANAE6B

pith:2009:7QANAE6BTTSUTQL3V6ZRGVV43M

not attested not anchored not stored refs pending

Monodromy at infinity of polynomial maps and Newton polyhedra (with Appendix by C. Sabbah)

Kiyoshi Takeuchi, Yutaka Matsui

arxiv:0912.5144 v12 · 2009-12-28 · 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{7QANAE6BTTSUTQL3V6ZRGVV43M}

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	2026-05-18T04:01:49.849753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc00d013c19ce549c17bafb31356bcdb2164528279252aded09e534f7ef8b53c

Aliases

arxiv: 0912.5144 · arxiv_version: 0912.5144v12 · doi: 10.48550/arxiv.0912.5144 · pith_short_12: 7QANAE6BTTSU · pith_short_16: 7QANAE6BTTSUTQL3 · pith_short_8: 7QANAE6B

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/7QANAE6BTTSUTQL3V6ZRGVV43M \
  | 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: fc00d013c19ce549c17bafb31356bcdb2164528279252aded09e534f7ef8b53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35319e7f614f324bd0b08a5bb57215b1a2c668a3afb67e3c5e1fd7405e13a2b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-28T09:31:46Z",
    "title_canon_sha256": "ed952d83ca6d8da3ce08497823704968269f6dd3b5d90b833ab914b4b188cd72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5144",
    "kind": "arxiv",
    "version": 12
  }
}