Pith Number

pith:FGSFKA6Z

pith:2007:FGSFKA6ZB2CW7CEQDY266OEMBZ

not attested not anchored not stored refs pending

Algorithmic and topological aspects of semi-algebraic sets defined by quadratic polynomial

Michael Kettner

arxiv:0709.3283 v1 · 2007-09-20 · math.AG · cs.CG · 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{FGSFKA6ZB2CW7CEQDY266OEMBZ}

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	2026-05-18T04:09:14.430216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a45503d90e856f88901e35ef388c0e6d02e2744e8734a09c461fdbf1c63eeb

Aliases

arxiv: 0709.3283 · arxiv_version: 0709.3283v1 · doi: 10.48550/arxiv.0709.3283 · pith_short_12: FGSFKA6ZB2CW · pith_short_16: FGSFKA6ZB2CW7CEQ · pith_short_8: FGSFKA6Z

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/FGSFKA6ZB2CW7CEQDY266OEMBZ \
  | 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: 29a45503d90e856f88901e35ef388c0e6d02e2744e8734a09c461fdbf1c63eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6c2f79e32a91d7cd07ff9f60294bf43fec303640a85988d70904de5a829b12",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AT",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-20T19:28:10Z",
    "title_canon_sha256": "58eeb36ba4a6c0a1de5288201e09fc0c4c8f7c65f241bd6f859e0cc34c6a8b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3283",
    "kind": "arxiv",
    "version": 1
  }
}