Pith Number

pith:GEQEY2SH

pith:2011:GEQEY2SHA4M6ZV3LVBFT6HUNJH

not attested not anchored not stored refs pending

Moment Matrices, Border Bases and Real Radical Computation

Bernard Mourrain (INRIA Sophia Antipolis), Jean-Bernard Lasserre (LAAS), Monique Laurent (CWI), Philippe Tr\'ebuchet (LIP6), Philipp Rostalski

arxiv:1112.3197 v1 · 2011-12-14 · 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{GEQEY2SHA4M6ZV3LVBFT6HUNJH}

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	2026-05-18T04:05:58.793010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31204c6a470719ecd76ba84b3f1e8d49de392377765603a81a5a64e2936664c9

Aliases

arxiv: 1112.3197 · arxiv_version: 1112.3197v1 · doi: 10.48550/arxiv.1112.3197 · pith_short_12: GEQEY2SHA4M6 · pith_short_16: GEQEY2SHA4M6ZV3L · pith_short_8: GEQEY2SH

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/GEQEY2SHA4M6ZV3LVBFT6HUNJH \
  | 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: 31204c6a470719ecd76ba84b3f1e8d49de392377765603a81a5a64e2936664c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b083acd514b072e670404c3f1e18ededcf9ea3bf0261074182c4a16f92787a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-14T13:13:01Z",
    "title_canon_sha256": "c92903dac83b58c3c1393724ff1a38d100520d6585db92fea03b346e56a80557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3197",
    "kind": "arxiv",
    "version": 1
  }
}