Pith Number

pith:CC5BCMF4

pith:2010:CC5BCMF4XGTCIJRO5572OH4YOY

not attested not anchored not stored refs pending

On divisorial filtrations associated with Newton diagrams

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1008.4659 v1 · 2010-08-27 · 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{CC5BCMF4XGTCIJRO5572OH4YOY}

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	2026-05-18T04:41:44.545423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ba1130bcb9a624262eef7fa71f987601b30083669b296b16e11482bc2b175c

Aliases

arxiv: 1008.4659 · arxiv_version: 1008.4659v1 · doi: 10.48550/arxiv.1008.4659 · pith_short_12: CC5BCMF4XGTC · pith_short_16: CC5BCMF4XGTCIJRO · pith_short_8: CC5BCMF4

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/CC5BCMF4XGTCIJRO5572OH4YOY \
  | 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: 10ba1130bcb9a624262eef7fa71f987601b30083669b296b16e11482bc2b175c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128cc5659f3040eb21dd66d3560be1377eeca9cd7a76d5202cb98b85e6779e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-27T08:34:37Z",
    "title_canon_sha256": "cc2f5561c2b09fbded3703ecedcc766cc86d8828264f9c01c37c4e7d1b30552d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4659",
    "kind": "arxiv",
    "version": 1
  }
}