Pith Number

pith:AEJEQDWW

pith:2013:AEJEQDWWCZ44BCRUAFI7SHGC4M

not attested not anchored not stored refs pending

Hyperplane Sections, Groebner Bases, and Hough Transforms

Lorenzo Robbiano

arxiv:1305.0478 v2 · 2013-05-02 · 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{AEJEQDWWCZ44BCRUAFI7SHGC4M}

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	2026-05-18T02:49:18.320777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0112480ed61679c08a340151f91cc2e3234e6b0201e4d0dbbe3e7a0cf768476d

Aliases

arxiv: 1305.0478 · arxiv_version: 1305.0478v2 · doi: 10.48550/arxiv.1305.0478 · pith_short_12: AEJEQDWWCZ44 · pith_short_16: AEJEQDWWCZ44BCRU · pith_short_8: AEJEQDWW

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/AEJEQDWWCZ44BCRUAFI7SHGC4M \
  | 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: 0112480ed61679c08a340151f91cc2e3234e6b0201e4d0dbbe3e7a0cf768476d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12497cc2154ff4fc0f5f062181d4131f49dd5e7083d862d3f497a8dab4b46c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-02T15:28:14Z",
    "title_canon_sha256": "ad3b8bf424f776ea03a822f5792b778ef2d6bc4d185ac652c1788eb1b35af6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0478",
    "kind": "arxiv",
    "version": 2
  }
}