Pith Number

pith:MUHQA6HR

pith:2013:MUHQA6HRDP6UX2OHF3AY7WYWHF

not attested not anchored not stored refs pending

A dynamic symbolic geometry environment based on the Gr\"obnerCover algorithm for the computation of geometric loci and envelopes

Francisco Botana, Miguel A. Ab\'anades

arxiv:1306.1900 v1 · 2013-06-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUHQA6HRDP6UX2OHF3AY7WYWHF}

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	2026-05-18T03:21:22.927948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650f0078f11bfd4be9c72ec18fdb1639487c3808d81584042b7fc62d534cfeb7

Aliases

arxiv: 1306.1900 · arxiv_version: 1306.1900v1 · doi: 10.48550/arxiv.1306.1900 · pith_short_12: MUHQA6HRDP6U · pith_short_16: MUHQA6HRDP6UX2OH · pith_short_8: MUHQA6HR

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/MUHQA6HRDP6UX2OHF3AY7WYWHF \
  | 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: 650f0078f11bfd4be9c72ec18fdb1639487c3808d81584042b7fc62d534cfeb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d89d6e139bb58c5787ea7d07f2454f67904c82952ef711cd509aacf61bf48f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-08T10:08:21Z",
    "title_canon_sha256": "6e7a99dee6ee5f96ce494ce48aff509bcf0a3f6a0759ee4abb1ee5fbd51241d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1900",
    "kind": "arxiv",
    "version": 1
  }
}