Pith Number

pith:UR7BGW3Q

pith:2013:UR7BGW3QLR2VJEI6KEYTPYUZBE

not attested not anchored not stored refs pending

Further refinements of the Heinz inequality

C. Conde, M. Singh, M.S. Moslehian, R. Kaur

arxiv:1301.7346 v1 · 2013-01-30 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR7BGW3QLR2VJEI6KEYTPYUZBE}

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	2026-07-05T02:59:50.580845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47e135b705c7554911e513137e2990908d2fee45423e919be93859a39c5e538

Aliases

arxiv: 1301.7346 · arxiv_version: 1301.7346v1 · doi: 10.48550/arxiv.1301.7346 · pith_short_12: UR7BGW3QLR2V · pith_short_16: UR7BGW3QLR2VJEI6 · pith_short_8: UR7BGW3Q

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/UR7BGW3QLR2VJEI6KEYTPYUZBE \
  | 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: a47e135b705c7554911e513137e2990908d2fee45423e919be93859a39c5e538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451a02baed2e015e4d37d213566eeb62aacd860d6285007c501b5a5590d08ec9",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-30T20:10:46Z",
    "title_canon_sha256": "90325835ffd41f8e8085abe116e2612cd028acc88f4a8696152d23ac3aa4cee0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7346",
    "kind": "arxiv",
    "version": 1
  }
}