Pith Number

pith:O644QVC2

pith:2013:O644QVC2JT4LUPY574767IPK3M

not attested not anchored not stored refs pending

Best approximation on semi-algebraic sets and k-border rank approximation of symmetric tensors

Malgorzata Stawiska, Shmuel Friedland

arxiv:1311.1561 v1 · 2013-11-07 · 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{O644QVC2JT4LUPY574767IPK3M}

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	2026-05-18T03:07:43.864992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b9c8545a4cf8ba3f1dff3fefa1eadb07caf0186b1e0dfc3163807575ff8b7d

Aliases

arxiv: 1311.1561 · arxiv_version: 1311.1561v1 · doi: 10.48550/arxiv.1311.1561 · pith_short_12: O644QVC2JT4L · pith_short_16: O644QVC2JT4LUPY5 · pith_short_8: O644QVC2

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/O644QVC2JT4LUPY574767IPK3M \
  | 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: 77b9c8545a4cf8ba3f1dff3fefa1eadb07caf0186b1e0dfc3163807575ff8b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fad9e6ecfdf999d656299c43aaeb71e916001bf6fe331cd406ba5576a9e13f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-07T02:10:28Z",
    "title_canon_sha256": "dd456eeb472a0da59325c82b722d12d09bc9a794769835eed5a169ac2ba138eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1561",
    "kind": "arxiv",
    "version": 1
  }
}