Pith Number

pith:UDAPKSKM

pith:2012:UDAPKSKMVL3LBHWMCC6IG4Q7LS

not attested not anchored not stored refs pending

Norm-constrained determinantal representations of polynomials

Anatolii Grinshpan, Dmitry S. Kaliuzhnyi-Verbovetskyi, Hugo J. Woerdeman

arxiv:1208.2288 v1 · 2012-08-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDAPKSKMVL3LBHWMCC6IG4Q7LS}

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	2026-05-18T03:48:58.297609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c0f5494caaf6b09ecc10bc83721f5c854387c8e5079bedf65fc2438ccc965a

Aliases

arxiv: 1208.2288 · arxiv_version: 1208.2288v1 · doi: 10.48550/arxiv.1208.2288 · pith_short_12: UDAPKSKMVL3L · pith_short_16: UDAPKSKMVL3LBHWM · pith_short_8: UDAPKSKM

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/UDAPKSKMVL3LBHWMCC6IG4Q7LS \
  | 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: a0c0f5494caaf6b09ecc10bc83721f5c854387c8e5079bedf65fc2438ccc965a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a47a6f598c23e765cbea5ca01012928851753f1d9a28d05242c6cdc4a0e9b57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-10T21:01:43Z",
    "title_canon_sha256": "3375659c72a2c54ce561a41a2619ed73e7cf06bfb529fbb5bb14d13f296ddda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2288",
    "kind": "arxiv",
    "version": 1
  }
}