Pith Number

pith:Q2GDPAIA

pith:2014:Q2GDPAIA66G4G7DBXI7VKQO5OB

not attested not anchored not stored refs pending

Completely strong superadditivity of generalized matrix functions

Minghua Lin, Suvrit Sra

arxiv:1410.1958 v1 · 2014-10-08 · 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{Q2GDPAIA66G4G7DBXI7VKQO5OB}

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	2026-05-18T02:40:53.400825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868c378100f78dc37c61ba3f5541dd704e5d0a9b6117a0a929d45f4ee15626f2

Aliases

arxiv: 1410.1958 · arxiv_version: 1410.1958v1 · doi: 10.48550/arxiv.1410.1958 · pith_short_12: Q2GDPAIA66G4 · pith_short_16: Q2GDPAIA66G4G7DB · pith_short_8: Q2GDPAIA

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/Q2GDPAIA66G4G7DBXI7VKQO5OB \
  | 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: 868c378100f78dc37c61ba3f5541dd704e5d0a9b6117a0a929d45f4ee15626f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2fbe178cf481786c4939a2069c90b482d9fdebfa09fdf67b4d7f9caf8174ef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-08T01:04:32Z",
    "title_canon_sha256": "9ec29730fd6e1527738fa816653b44dd58c050edfc13e431fc3f9be1c997692c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1958",
    "kind": "arxiv",
    "version": 1
  }
}