Pith Number

pith:CCVPAIVM

pith:2007:CCVPAIVMYMFLUK4URPLQAPBT3I

not attested not anchored not stored refs pending

Stable Border Bases for Ideals of Points

Claudia Fassino, John Abbott, Maria-Laura Torrente

arxiv:0706.2316 v2 · 2007-06-15 · 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{CCVPAIVMYMFLUK4URPLQAPBT3I}

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	2026-06-03T22:06:01.263051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10aaf022acc30aba2b948bd7003c33da35b3a9a53f4eeaf649a861b9caf1a82a

Aliases

arxiv: 0706.2316 · arxiv_version: 0706.2316v2 · doi: 10.48550/arxiv.0706.2316 · pith_short_12: CCVPAIVMYMFL · pith_short_16: CCVPAIVMYMFLUK4U · pith_short_8: CCVPAIVM

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/CCVPAIVMYMFLUK4URPLQAPBT3I \
  | 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: 10aaf022acc30aba2b948bd7003c33da35b3a9a53f4eeaf649a861b9caf1a82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec58d6a93f1a19d6c20970d365af27da7874930a494346ed6513b0a94758f0d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-06-15T15:28:18Z",
    "title_canon_sha256": "d5a3b5b6dd43b35d157d262181a6dd1b730c0f1c851388ff250910783357ff91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2316",
    "kind": "arxiv",
    "version": 2
  }
}