Pith Number

pith:EBJR6M5E

pith:2010:EBJR6M5EERWW3UIBYKHV4YMWFT

not attested not anchored not stored refs pending

Monodromy of dual invertible polynomials

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1008.4021 v3 · 2010-08-24 · 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{EBJR6M5EERWW3UIBYKHV4YMWFT}

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	2026-05-18T04:41:14.962675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20531f33a4246d6dd101c28f5e61962cd1e8987e7e1bdf2e8ce85e2ddffdf0d9

Aliases

arxiv: 1008.4021 · arxiv_version: 1008.4021v3 · doi: 10.48550/arxiv.1008.4021 · pith_short_12: EBJR6M5EERWW · pith_short_16: EBJR6M5EERWW3UIB · pith_short_8: EBJR6M5E

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/EBJR6M5EERWW3UIBYKHV4YMWFT \
  | 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: 20531f33a4246d6dd101c28f5e61962cd1e8987e7e1bdf2e8ce85e2ddffdf0d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d71a3ebbd85088880ea9b75c10f9ab591e3d17259b193cf8d08a1ba89541c9d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-24T12:00:36Z",
    "title_canon_sha256": "b4f562b5577fb0199a6af508a7c42ebf5439083e7e3b27c321e57d087ab557ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4021",
    "kind": "arxiv",
    "version": 3
  }
}