Pith Number

pith:7KDL4DPC

pith:2016:7KDL4DPC2N2EVP6KVWOODDJT2V

not attested not anchored not stored refs pending

Implicitization of Hypersurfaces

Anna Maria Bigatti, John Abbott, Lorenzo Robbiano

arxiv:1602.03993 v2 · 2016-02-12 · 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{7KDL4DPC2N2EVP6KVWOODDJT2V}

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	2026-05-18T01:02:22.161367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa86be0de2d3744abfcaad9ce18d33d55ac76c32fbc082d452a19270d8a5bf97

Aliases

arxiv: 1602.03993 · arxiv_version: 1602.03993v2 · doi: 10.48550/arxiv.1602.03993 · pith_short_12: 7KDL4DPC2N2E · pith_short_16: 7KDL4DPC2N2EVP6K · pith_short_8: 7KDL4DPC

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/7KDL4DPC2N2EVP6KVWOODDJT2V \
  | 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: fa86be0de2d3744abfcaad9ce18d33d55ac76c32fbc082d452a19270d8a5bf97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ac100c0db9629dd33e5b9126c6f1985e4e2f70f6bfdfd2491f03b0bda996a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-12T09:49:01Z",
    "title_canon_sha256": "76f72cd2c775d86ce9c3ddc9142385af90bffb4531f6172ea53f5c4a176d7802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03993",
    "kind": "arxiv",
    "version": 2
  }
}