Pith Number

pith:LPH776EC

pith:2018:LPH776ECFBEAOPKOXRWONA7HWX

not attested not anchored not stored refs pending

Bifurcation sets and global monodromies of Newton non-degenerate polynomials on algebraic sets

Phu Phat Pham, Tat Thang Nguyen, Tien-Son Pham

arxiv:1803.09654 v1 · 2018-03-26 · 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{LPH776ECFBEAOPKOXRWONA7HWX}

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	2026-05-18T00:20:10.772390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcffff8822848073d4ebc6ce683e7b5d1f892025b9491692708c9c458242873

Aliases

arxiv: 1803.09654 · arxiv_version: 1803.09654v1 · doi: 10.48550/arxiv.1803.09654 · pith_short_12: LPH776ECFBEA · pith_short_16: LPH776ECFBEAOPKO · pith_short_8: LPH776EC

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/LPH776ECFBEAOPKOXRWONA7HWX \
  | 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: 5bcffff8822848073d4ebc6ce683e7b5d1f892025b9491692708c9c458242873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a146557b1ffb261840c5e897d5503bfc9a907a4f76f79f09719a2cd8fc510baf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-26T15:20:45Z",
    "title_canon_sha256": "b1d30549e233dc95178dcd20380cd9490800afd42f17067cb6a1eb5ceb0e0f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09654",
    "kind": "arxiv",
    "version": 1
  }
}