Pith Number

pith:XACQWBON

pith:2010:XACQWBONR6O4Z3CVU4ONCZAZJJ

not attested not anchored not stored refs pending

Decomposition of homogeneous polynomials with low rank

Alessandra Bernardi, Edoardo Ballico

arxiv:1003.5157 v3 · 2010-03-26 · 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{XACQWBONR6O4Z3CVU4ONCZAZJJ}

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	2026-05-18T03:49:12.187960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8050b05cd8f9dccec55a71cd164194a60c7994c18513afed88856cc812bbdf6

Aliases

arxiv: 1003.5157 · arxiv_version: 1003.5157v3 · doi: 10.48550/arxiv.1003.5157 · pith_short_12: XACQWBONR6O4 · pith_short_16: XACQWBONR6O4Z3CV · pith_short_8: XACQWBON

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/XACQWBONR6O4Z3CVU4ONCZAZJJ \
  | 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: b8050b05cd8f9dccec55a71cd164194a60c7994c18513afed88856cc812bbdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba97a0d9c36a0091762d2fa4933dbf77a1a2e325416608d852ba039ed0c0aa4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-03-26T15:19:49Z",
    "title_canon_sha256": "b40cdd777726812ab31875b335e57bdcbd4dc989e73617d5d5bed7f593f6d68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5157",
    "kind": "arxiv",
    "version": 3
  }
}