Pith Number

pith:XJXYLL47

pith:2016:XJXYLL47LCOMMKJ3JAHPVAGGFG

not attested not anchored not stored refs pending

Elementary recursive quantifier elimination based on Thom encoding and sign determination

Daniel Perrucci, Marie-Fran\c{c}oise Roy

arxiv:1609.02879 v2 · 2016-09-09 · math.AG · cs.CC · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJXYLL47LCOMMKJ3JAHPVAGGFG}

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	2026-05-18T00:49:58.518060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba6f85af9f589cc6293b480efa80c62999158bc28cab6b705e46261c86abb742

Aliases

arxiv: 1609.02879 · arxiv_version: 1609.02879v2 · doi: 10.48550/arxiv.1609.02879 · pith_short_12: XJXYLL47LCOM · pith_short_16: XJXYLL47LCOMMKJ3 · pith_short_8: XJXYLL47

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/XJXYLL47LCOMMKJ3JAHPVAGGFG \
  | 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: ba6f85af9f589cc6293b480efa80c62999158bc28cab6b705e46261c86abb742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6da2eb2d76ba7195bbd3a503b848443978ae051af07561134eb1a776ec9c1d",
    "cross_cats_sorted": [
      "cs.CC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-09T18:16:08Z",
    "title_canon_sha256": "575bfe1660118dbf727c90d99432e6c6f136ed1f928daf51c4449b16c1e66038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02879",
    "kind": "arxiv",
    "version": 2
  }
}