Pith Number

pith:HGRPY7LI

pith:2007:HGRPY7LIGHRRPLZ2TK64KSMOIJ

not attested not anchored not stored refs pending

An approximation of the Gr\"obner basis of ideals of perturbed points, part I

Claudia Fassino

arxiv:math/0703154 v1 · 2007-03-06 · math.AC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGRPY7LIGHRRPLZ2TK64KSMOIJ}

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	2026-06-03T22:06:22.223180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a2fc7d6831e317af3a9abdc5498e4271d497081e52888d295bfad1ebf127cf

Aliases

arxiv: math/0703154 · arxiv_version: math/0703154v1 · doi: 10.48550/arxiv.math/0703154 · pith_short_12: HGRPY7LIGHRR · pith_short_16: HGRPY7LIGHRRPLZ2 · pith_short_8: HGRPY7LI

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/HGRPY7LIGHRRPLZ2TK64KSMOIJ \
  | 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: 39a2fc7d6831e317af3a9abdc5498e4271d497081e52888d295bfad1ebf127cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1cb9b3e9d9d8f3c6aa8c72dcda4b9286c0389eab5d6a94c6f57b681ddcfc7c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-03-06T13:23:29Z",
    "title_canon_sha256": "f78670496d4fa5fa4ab481d678aac8f088e34daf1a1b6f3004af68b2aed09782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703154",
    "kind": "arxiv",
    "version": 1
  }
}