Pith Number

pith:3L3I2624

pith:2003:3L3I2624JYZUNJVJWB44IO4EIA

not attested not anchored not stored refs pending

Counting complexity classes for numeric computations II: algebraic and semialgebraic sets

Felipe Cucker, Peter Buergisser

arxiv:cs/0312007 v1 · 2003-12-02 · cs.CC · 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{3L3I2624JYZUNJVJWB44IO4EIA}

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	2026-05-18T04:19:53.665173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf68d7b5c4e3346a6a9b079c43b844028a67a71d5826f36b90edbce13678fea

Aliases

arxiv: cs/0312007 · arxiv_version: cs/0312007v1 · doi: 10.48550/arxiv.cs/0312007 · pith_short_12: 3L3I2624JYZU · pith_short_16: 3L3I2624JYZUNJVJ · pith_short_8: 3L3I2624

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/3L3I2624JYZUNJVJWB44IO4EIA \
  | 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: daf68d7b5c4e3346a6a9b079c43b844028a67a71d5826f36b90edbce13678fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c04628a12d2a3df9642d0123981dc3981355ebdae05f18bedfb393d33a44bd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2003-12-02T16:17:16Z",
    "title_canon_sha256": "dfe900f86493761eab029f837c9830e0ceffedc7262c3273628300b502db663b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0312007",
    "kind": "arxiv",
    "version": 1
  }
}