Pith Number

pith:GLWDGVLG

pith:2010:GLWDGVLGFL77BPLROCR67TKN6W

not attested not anchored not stored refs pending

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements

Alexandru Dimca

arxiv:1012.1437 v5 · 2010-12-07 · math.AG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLWDGVLGFL77BPLROCR67TKN6W}

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	2026-05-18T04:22:31.839250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ec3355662afff0bd7170a3efcd4df5997e29d5f0ca92eaa6f969995701307b

Aliases

arxiv: 1012.1437 · arxiv_version: 1012.1437v5 · doi: 10.48550/arxiv.1012.1437 · pith_short_12: GLWDGVLGFL77 · pith_short_16: GLWDGVLGFL77BPLR · pith_short_8: GLWDGVLG

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/GLWDGVLGFL77BPLROCR67TKN6W \
  | 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: 32ec3355662afff0bd7170a3efcd4df5997e29d5f0ca92eaa6f969995701307b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77556f01e8fc97a5b6c863f17be5fe27710de550bc3a683fa0baf0d86842aa49",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-07T09:16:13Z",
    "title_canon_sha256": "21b25061b39e0bf368236df532b5ac3f97b87b431f6b0f73b37b983f91364272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1437",
    "kind": "arxiv",
    "version": 5
  }
}