Pith Number

pith:3TO4HSF2

pith:2021:3TO4HSF2CWILG3H57YRPNYAQAF

not attested not anchored not stored refs pending

T product Tensors Part I: Inequalities

Shih Yu Chang, Yimin Wei

arxiv:2107.06285 v2 · 2021-07-13 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TO4HSF2CWILG3H57YRPNYAQAF}

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	2026-07-05T03:04:27.170417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcddc3c8ba1590b36cfdfe22f6e010017514738781b8a314c58f4d4df832f4c3

Aliases

arxiv: 2107.06285 · arxiv_version: 2107.06285v2 · doi: 10.48550/arxiv.2107.06285 · pith_short_12: 3TO4HSF2CWIL · pith_short_16: 3TO4HSF2CWILG3H5 · pith_short_8: 3TO4HSF2

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/3TO4HSF2CWILG3H57YRPNYAQAF \
  | 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: dcddc3c8ba1590b36cfdfe22f6e010017514738781b8a314c58f4d4df832f4c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "096d540ed696ca1d0bcc53b05ae27c5ea15e2f0a311268d6a522441a1ba58cc9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-07-13T16:18:20Z",
    "title_canon_sha256": "dd39acd10f338da93a3193c51b8c791f55f0ee7459e15fa0f073000f58b706ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06285",
    "kind": "arxiv",
    "version": 2
  }
}