Pith Number

pith:OM7Y4HFP

pith:2013:OM7Y4HFPMPUFE4TWQIWCOUBRP7

not attested not anchored not stored refs pending

Overdetermined systems of sparse polynomial equations

Francesco Amoroso, Louis Leroux, Martin Sombra

arxiv:1307.5788 v2 · 2013-07-22 · math.AG · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OM7Y4HFPMPUFE4TWQIWCOUBRP7}

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	2026-05-18T02:54:21.386312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733f8e1caf63e8527276822c2750317ffaa3c5d5a727b7e5a1d8846a2d6477f7

Aliases

arxiv: 1307.5788 · arxiv_version: 1307.5788v2 · doi: 10.48550/arxiv.1307.5788 · pith_short_12: OM7Y4HFPMPUF · pith_short_16: OM7Y4HFPMPUFE4TW · pith_short_8: OM7Y4HFP

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/OM7Y4HFPMPUFE4TWQIWCOUBRP7 \
  | 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: 733f8e1caf63e8527276822c2750317ffaa3c5d5a727b7e5a1d8846a2d6477f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a30b9c390e5a5a4bc5326f05aaa3c93bf9cc2cbeb6b89dd65854c4155f79e80a",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-22T17:21:59Z",
    "title_canon_sha256": "7602044e402691f48d35cc01e55bcff240b0db00748831a9e846b97920213a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5788",
    "kind": "arxiv",
    "version": 2
  }
}