Pith Number

pith:C7JCNSJG

pith:2016:C7JCNSJGSLN6NIFUGKMDMG5CGN

not attested not anchored not stored refs pending

Complexity of Triangular Representations of Algebraic Sets

Eli Amzallag, Gleb Pogudin, Mengxiao Sun, Thieu N. Vo

arxiv:1609.09824 v7 · 2016-09-30 · 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{C7JCNSJGSLN6NIFUGKMDMG5CGN}

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	2026-05-18T00:05:39.941295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17d226c92692dbe6a0b43298361ba2336d46c5a5c37d21139637b310b36bc855

Aliases

arxiv: 1609.09824 · arxiv_version: 1609.09824v7 · doi: 10.48550/arxiv.1609.09824 · pith_short_12: C7JCNSJGSLN6 · pith_short_16: C7JCNSJGSLN6NIFU · pith_short_8: C7JCNSJG

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/C7JCNSJGSLN6NIFUGKMDMG5CGN \
  | 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: 17d226c92692dbe6a0b43298361ba2336d46c5a5c37d21139637b310b36bc855

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a5611f6b26fac9d9312b25dd3626fd782a892bd03b627a78948a289b3f87aa",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-30T17:23:27Z",
    "title_canon_sha256": "db52bbc3e385c282280b0b1a0f0d7c837171fcb77bccf38a9417c991327132d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09824",
    "kind": "arxiv",
    "version": 7
  }
}