Pith Number

pith:QQ3WWFMQ

pith:2017:QQ3WWFMQPP5OURGVGHJ6JHWWH4

not attested not anchored not stored refs pending

Computing all border bases for ideals of points

Amir Hashemi, Martin Kreuzer, Samira Pourkhajouei

arxiv:1707.02076 v1 · 2017-07-07 · 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{QQ3WWFMQPP5OURGVGHJ6JHWWH4}

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	2026-05-18T00:40:43.051911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84376b15907bfaea44d531d3e49ed63f220f4fb7de9a3d731b2526ec2f0ed0d7

Aliases

arxiv: 1707.02076 · arxiv_version: 1707.02076v1 · doi: 10.48550/arxiv.1707.02076 · pith_short_12: QQ3WWFMQPP5O · pith_short_16: QQ3WWFMQPP5OURGV · pith_short_8: QQ3WWFMQ

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/QQ3WWFMQPP5OURGVGHJ6JHWWH4 \
  | 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: 84376b15907bfaea44d531d3e49ed63f220f4fb7de9a3d731b2526ec2f0ed0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7308bcf660938f5a2ecfcd36b15ba0be2c301d23944941b85e00e8318ce786cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-07T08:37:17Z",
    "title_canon_sha256": "b2fb97c19d2662f742648f3e00ad7d31d3278c89d3d7ba0e8a7b1f45bc62c18e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02076",
    "kind": "arxiv",
    "version": 1
  }
}