Pith Number

pith:RILBUD7Z

pith:2007:RILBUD7ZQFEA3NT4FNEYIGRIGY

not attested not anchored not stored refs pending

Semidefinite Representation of the $k$-Ellipse

Bernd Sturmfels, Jiawang Nie, Pablo A. Parrilo

arxiv:math/0702005 v1 · 2007-01-31 · math.AG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RILBUD7ZQFEA3NT4FNEYIGRIGY}

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	2026-05-18T04:12:19.364832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a161a0ff981480db67c2b49841a28363bd930266ef37452b6d47933286549ab

Aliases

arxiv: math/0702005 · arxiv_version: math/0702005v1 · doi: 10.48550/arxiv.math/0702005 · pith_short_12: RILBUD7ZQFEA · pith_short_16: RILBUD7ZQFEA3NT4 · pith_short_8: RILBUD7Z

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/RILBUD7ZQFEA3NT4FNEYIGRIGY \
  | 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: 8a161a0ff981480db67c2b49841a28363bd930266ef37452b6d47933286549ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b70ee0e9bc2b33c41ce378add28a1fc98fef330963ee48438f5b7fedd191c13",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-01-31T23:57:31Z",
    "title_canon_sha256": "c6b39872ffe09261c995de0b4a8c232dca43ba31f29f799a706b8923e8fb598a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702005",
    "kind": "arxiv",
    "version": 1
  }
}