Pith Number

pith:INT3X64G

pith:2013:INT3X64GG5WDAJ3ZI5C2TCSQNJ

not attested not anchored not stored refs pending

A sufficient condition on operator order for strictly positive operators

Jian Shi, Zongsheng Gao

arxiv:1306.2397 v1 · 2013-06-11 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INT3X64GG5WDAJ3ZI5C2TCSQNJ}

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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	2026-05-18T03:21:21.099178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4367bbfb86376c3027794745a98a506a45224befd87e7d5c8de65c05a3c6dedb

Aliases

arxiv: 1306.2397 · arxiv_version: 1306.2397v1 · doi: 10.48550/arxiv.1306.2397 · pith_short_12: INT3X64GG5WD · pith_short_16: INT3X64GG5WDAJ3Z · pith_short_8: INT3X64G

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/INT3X64GG5WDAJ3ZI5C2TCSQNJ \
  | 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: 4367bbfb86376c3027794745a98a506a45224befd87e7d5c8de65c05a3c6dedb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10cb05d182b13e5b65d0fa2872d3e05132cb504b9f7b3a4fbac1ab9b5dd7d1d0",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-11T01:31:17Z",
    "title_canon_sha256": "1c243d784eb969504e25a58acbbeb8c68d67b31c4ba5c0c330c20981810a1a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2397",
    "kind": "arxiv",
    "version": 1
  }
}