Pith Number

pith:5ZRTJHLN

pith:2016:5ZRTJHLNLBDLU2RADFSHUS3OXD

not attested not anchored not stored refs pending

Weak log majorization and determinantal inequalities

Pingping Zhang, Tin-Yau Tam

arxiv:1611.05108 v1 · 2016-11-16 · 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{5ZRTJHLNLBDLU2RADFSHUS3OXD}

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	2026-05-18T00:58:27.947479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee63349d6d5846ba6a2019647a4b6eb8c6cc66dfb691e44dc761586a8e144d81

Aliases

arxiv: 1611.05108 · arxiv_version: 1611.05108v1 · doi: 10.48550/arxiv.1611.05108 · pith_short_12: 5ZRTJHLNLBDL · pith_short_16: 5ZRTJHLNLBDLU2RA · pith_short_8: 5ZRTJHLN

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/5ZRTJHLNLBDLU2RADFSHUS3OXD \
  | 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: ee63349d6d5846ba6a2019647a4b6eb8c6cc66dfb691e44dc761586a8e144d81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79545942414788e6a315fa6259f8d9f697ad042b5b07cee1fd80b2a06d0fa13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-16T01:04:22Z",
    "title_canon_sha256": "887b571c33eac108bc6871d7062be00207c30b29f465c750228a6e0118df2c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05108",
    "kind": "arxiv",
    "version": 1
  }
}