Pith Number

pith:2HZAYA2P

pith:2016:2HZAYA2PD6TBYMPCNWZQKVMPNO

not attested not anchored not stored refs pending

Singularity Degree of the Positive Semidefinite Matrix Completion Problem

Shin-ichi Tanigawa

arxiv:1603.09586 v2 · 2016-03-31 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2HZAYA2PD6TBYMPCNWZQKVMPNO}

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	2026-05-18T01:00:09.546023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f20c034f1fa61c31e26db305558f6bbb9b3ec7097991d60770ba61e583c781

Aliases

arxiv: 1603.09586 · arxiv_version: 1603.09586v2 · doi: 10.48550/arxiv.1603.09586 · pith_short_12: 2HZAYA2PD6TB · pith_short_16: 2HZAYA2PD6TBYMPC · pith_short_8: 2HZAYA2P

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/2HZAYA2PD6TBYMPCNWZQKVMPNO \
  | 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: d1f20c034f1fa61c31e26db305558f6bbb9b3ec7097991d60770ba61e583c781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f336ed3734e71461773215f29c9aefdea91aa39389ecfaa3223d0e52a88ec2f1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-31T13:26:25Z",
    "title_canon_sha256": "404c1524f9f95c77ed4a7c332b859e487182f429bfe813957bdd71e8dd7ef4e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09586",
    "kind": "arxiv",
    "version": 2
  }
}