Pith Number

pith:2KKCGVOJ

pith:2007:2KKCGVOJPL5ISDDO4WJ63AA652

not attested not anchored not stored refs pending

Bounding the Betti numbers and computing the Euler-Poincar\'e characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials

Dmitrii V. Pasechnik, Marie-Francoise Roy, Saugata Basu

arxiv:0708.3522 v2 · 2007-08-27 · math.AG · cs.SC · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KKCGVOJPL5ISDDO4WJ63AA652}

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	2026-05-18T04:39:06.945278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2942355c97afa890c6ee593ed801eeeb93def401b98848602916fe80816c025

Aliases

arxiv: 0708.3522 · arxiv_version: 0708.3522v2 · doi: 10.48550/arxiv.0708.3522 · pith_short_12: 2KKCGVOJPL5I · pith_short_16: 2KKCGVOJPL5ISDDO · pith_short_8: 2KKCGVOJ

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/2KKCGVOJPL5ISDDO4WJ63AA652 \
  | 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: d2942355c97afa890c6ee593ed801eeeb93def401b98848602916fe80816c025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0bc2d9f3efdef242d53439ad0fd375964aa7e165fab1a1333ad91cfc752dbfb",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-08-27T01:31:17Z",
    "title_canon_sha256": "34945a7cb5a32c8f8dab1914931e0466765ba4ffd06f2b856fab98fca0866a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3522",
    "kind": "arxiv",
    "version": 2
  }
}