Pith Number

pith:IBCY3PAG

pith:2025:IBCY3PAGYOX74SVSM45LJYDYDW

not attested not anchored not stored refs pending

The Groebner basis and solution set of a polynomial system related to the Jacobian conjecture

Christian Valqui, Valeria Ramirez

arxiv:2506.05697 v1 · 2025-06-06 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBCY3PAGYOX74SVSM45LJYDYDW}

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	2026-07-05T11:17:08.184727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40458dbc06c3affe4ab2673ab4e0781db07e93ce833d8d005d7fa444afc06b82

Aliases

arxiv: 2506.05697 · arxiv_version: 2506.05697v1 · doi: 10.48550/arxiv.2506.05697 · pith_short_12: IBCY3PAGYOX7 · pith_short_16: IBCY3PAGYOX74SVS · pith_short_8: IBCY3PAG

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/IBCY3PAGYOX74SVSM45LJYDYDW \
  | 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: 40458dbc06c3affe4ab2673ab4e0781db07e93ce833d8d005d7fa444afc06b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5462d1354b90c45faeb28496767baa80d89f23e9cdb1dc149764eb2267bfbad",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-06T02:54:39Z",
    "title_canon_sha256": "a923e12ac82bf2d538dea9dc05632bcf58fda74e6e121fe6e853d1067a2a2e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05697",
    "kind": "arxiv",
    "version": 1
  }
}