Pith Number

pith:GNM4P4UQ

pith:2019:GNM4P4UQNPDUY6MM27HV5PWBX7

not attested not anchored not stored refs pending

Real Polynomial Gram Matrices Without Real Spectral Factors

Ivan Dokmani\'c, Puoya Tabaghi

arxiv:1903.04085 v1 · 2019-03-11 · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNM4P4UQNPDUY6MM27HV5PWBX7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:51:40.089442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3359c7f2906bc74c798cd7cf5ebec1bfe0732c5a2d2898f8736886032865fb7f

Aliases

arxiv: 1903.04085 · arxiv_version: 1903.04085v1 · doi: 10.48550/arxiv.1903.04085 · pith_short_12: GNM4P4UQNPDU · pith_short_16: GNM4P4UQNPDUY6MM · pith_short_8: GNM4P4UQ

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/GNM4P4UQNPDUY6MM27HV5PWBX7 \
  | 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: 3359c7f2906bc74c798cd7cf5ebec1bfe0732c5a2d2898f8736886032865fb7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f735ad7df60f8b753f0c3d8076a15c68d1ba28a1ce3976414f0bc721ca2584",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2019-03-11T00:49:27Z",
    "title_canon_sha256": "6778e240a261b02a8f39a3c2cb2344fe0e410aa29046811efaaa42531e167842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04085",
    "kind": "arxiv",
    "version": 1
  }
}