Pith Number

pith:AZ4E7A4R

pith:2017:AZ4E7A4RQZQNSRMLGLNW2WVA7X

not attested not anchored not stored refs pending

Best rank k approximation for binary forms

Alicia Tocino, Giorgio Ottaviani

arxiv:1707.04696 v1 · 2017-07-15 · 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{AZ4E7A4RQZQNSRMLGLNW2WVA7X}

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	2026-05-18T00:40:12.560989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06784f83918660d9458b32db6d5aa0fdd98ede92fc42688b630d6e8197b44103

Aliases

arxiv: 1707.04696 · arxiv_version: 1707.04696v1 · doi: 10.48550/arxiv.1707.04696 · pith_short_12: AZ4E7A4RQZQN · pith_short_16: AZ4E7A4RQZQNSRML · pith_short_8: AZ4E7A4R

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/AZ4E7A4RQZQNSRMLGLNW2WVA7X \
  | 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: 06784f83918660d9458b32db6d5aa0fdd98ede92fc42688b630d6e8197b44103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9dd7727090cfbdaf94281c7bdcd782482a0de6c91218515dc6bf9c4231bd290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-15T06:57:11Z",
    "title_canon_sha256": "3ef7f645dc918decec1407ba785aa3c73c4c07f56f899b95044ca0ca734011aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04696",
    "kind": "arxiv",
    "version": 1
  }
}