Pith Number

pith:BO6QHP3Y

pith:2013:BO6QHP3YA7S5AF4BHAUTUMDYLA

not attested not anchored not stored refs pending

Generic Power Sum Decompositions and Bounds for the Waring Rank

Alessandro De Paris, Edoardo Ballico

arxiv:1312.3494 v2 · 2013-12-12 · 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{BO6QHP3YA7S5AF4BHAUTUMDYLA}

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	2026-05-18T00:19:04.861838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbd03bf7807e5d0178138293a307858146c0c15d1e5f59fcb042d3b713faa38

Aliases

arxiv: 1312.3494 · arxiv_version: 1312.3494v2 · doi: 10.48550/arxiv.1312.3494 · pith_short_12: BO6QHP3YA7S5 · pith_short_16: BO6QHP3YA7S5AF4B · pith_short_8: BO6QHP3Y

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/BO6QHP3YA7S5AF4BHAUTUMDYLA \
  | 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: 0bbd03bf7807e5d0178138293a307858146c0c15d1e5f59fcb042d3b713faa38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c373f0dc2827e1f80b9d3bc5af14198626cce7e9ac432fdb4bf7ab4a7c1538c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-12T14:35:13Z",
    "title_canon_sha256": "b7b7116ed18cc077d486d0c455ca0b769ef8e8ddaf0fe3a8cc8dd96ec348beb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3494",
    "kind": "arxiv",
    "version": 2
  }
}