Pith Number

pith:E5QKTAGL

pith:2017:E5QKTAGL3527ND6NTKRI5RFW77

not attested not anchored not stored refs pending

An extension of Harnack type determinantal inequality

Fuzhen Zhang, Minghua Lin

arxiv:1702.02085 v1 · 2017-02-07 · 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{E5QKTAGL3527ND6NTKRI5RFW77}

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	2026-05-18T00:51:10.364420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2760a980cbdf75f68fcd9aa28ec4b6ffe94ebffd89083ddf7cbdf1edbb04e15f

Aliases

arxiv: 1702.02085 · arxiv_version: 1702.02085v1 · doi: 10.48550/arxiv.1702.02085 · pith_short_12: E5QKTAGL3527 · pith_short_16: E5QKTAGL3527ND6N · pith_short_8: E5QKTAGL

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/E5QKTAGL3527ND6NTKRI5RFW77 \
  | 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: 2760a980cbdf75f68fcd9aa28ec4b6ffe94ebffd89083ddf7cbdf1edbb04e15f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427afd365bdc800c4ac803575118c0a9a647db4609a46593346b5fedbad438e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-07T16:32:37Z",
    "title_canon_sha256": "03e6f87a115f635b31c4e8243365607c503139e74559654c39932d45a1cbcc1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02085",
    "kind": "arxiv",
    "version": 1
  }
}