Pith Number

pith:MPPG4MKI

pith:2012:MPPG4MKIL66HY4P63HPPJKVKYG

not attested not anchored not stored refs pending

On a Newton filtration for functions on a curve singularity

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1206.0135 v1 · 2012-06-01 · 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{MPPG4MKIL66HY4P63HPPJKVKYG}

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	2026-05-18T03:54:27.026213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63de6e31485fbc7c71fed9def4aaaac18141bd294e43120a6d16c11da5d1b7c7

Aliases

arxiv: 1206.0135 · arxiv_version: 1206.0135v1 · doi: 10.48550/arxiv.1206.0135 · pith_short_12: MPPG4MKIL66H · pith_short_16: MPPG4MKIL66HY4P6 · pith_short_8: MPPG4MKI

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/MPPG4MKIL66HY4P63HPPJKVKYG \
  | 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: 63de6e31485fbc7c71fed9def4aaaac18141bd294e43120a6d16c11da5d1b7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ae08f3ef48a49decf7e63313f53883921f70342a08c645cb6a6b4416f61dc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-01T09:56:04Z",
    "title_canon_sha256": "ead847c8d21833a76b2968cd9353e0a345257294aa53c113067281bc19b41932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0135",
    "kind": "arxiv",
    "version": 1
  }
}