Pith Number

pith:GDJVGHUU

pith:2015:GDJVGHUUWQKZIY2BL5XY42LBXA

not attested not anchored not stored refs pending

Vanishing ideals over finite fields

Azucena Tochimani, Rafael H. Villarreal

arxiv:1502.05451 v2 · 2015-02-19 · math.AC · cs.IT · math.AG · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDJVGHUUWQKZIY2BL5XY42LBXA}

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	2026-05-17T23:49:34.100645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d3531e94b4159463415f6f8e6961b8385a980a6993705852c0ba4ff2757c63

Aliases

arxiv: 1502.05451 · arxiv_version: 1502.05451v2 · doi: 10.48550/arxiv.1502.05451 · pith_short_12: GDJVGHUUWQKZ · pith_short_16: GDJVGHUUWQKZIY2B · pith_short_8: GDJVGHUU

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/GDJVGHUUWQKZIY2BL5XY42LBXA \
  | 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: 30d3531e94b4159463415f6f8e6961b8385a980a6993705852c0ba4ff2757c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4bf898a729902d11610ba0bbe5afae11bbcb52d94bdb31675fd422f5821f66",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-02-19T00:49:55Z",
    "title_canon_sha256": "1d03016384858d25a54c1a5a63751ff1dea4f15bada01552204279eb38f59cc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05451",
    "kind": "arxiv",
    "version": 2
  }
}