Pith Number

pith:IDWBG44A

pith:2008:IDWBG44A3W6L3H35LATZP6NGRL

not attested not anchored not stored refs pending

Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials

Dmitrii V. Pasechnik, Marie-Fran\c{c}oise Roy, Saugata Basu

arxiv:0806.3911 v1 · 2008-06-24 · math.GT · 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{IDWBG44A3W6L3H35LATZP6NGRL}

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	2026-05-18T04:39:00.299462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ec137380ddbcbd9f7d582797f9a68aed8caeecfb31f4de59d4487325f79ac6

Aliases

arxiv: 0806.3911 · arxiv_version: 0806.3911v1 · doi: 10.48550/arxiv.0806.3911 · pith_short_12: IDWBG44A3W6L · pith_short_16: IDWBG44A3W6L3H35 · pith_short_8: IDWBG44A

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/IDWBG44A3W6L3H35LATZP6NGRL \
  | 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: 40ec137380ddbcbd9f7d582797f9a68aed8caeecfb31f4de59d4487325f79ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be6e8f42301ff59535fbad777aa7e9c7dcc7792dee72c4f5d54a9e7c212e050",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-06-24T14:54:07Z",
    "title_canon_sha256": "1036ebbe093b95ca6c90516427ab9f2f910c8a07667636fd3d1742174553e641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3911",
    "kind": "arxiv",
    "version": 1
  }
}