Pith Number

pith:J74VKZ4E

pith:2014:J74VKZ4EKSUQOUUAJDI26NXWCN

not attested not anchored not stored refs pending

Positivity, Betweenness and Strictness of Operator Means

Pattrawut Chansangiam

arxiv:1408.5701 v1 · 2014-08-25 · 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{J74VKZ4EKSUQOUUAJDI26NXWCN}

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	2026-05-18T02:44:24.374528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff955678454a907528048d1af36f6135bd93ef5dfe6360f95294316baabf1f3

Aliases

arxiv: 1408.5701 · arxiv_version: 1408.5701v1 · doi: 10.48550/arxiv.1408.5701 · pith_short_12: J74VKZ4EKSUQ · pith_short_16: J74VKZ4EKSUQOUUA · pith_short_8: J74VKZ4E

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/J74VKZ4EKSUQOUUAJDI26NXWCN \
  | 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: 4ff955678454a907528048d1af36f6135bd93ef5dfe6360f95294316baabf1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9637c4bf16dc280559185372d0744780353d0a438dbe706f93d0f180a5685537",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-25T09:36:48Z",
    "title_canon_sha256": "62feddade446cd0a3c9f3f29083fabaafdde33949a34446567be75f5a12faec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5701",
    "kind": "arxiv",
    "version": 1
  }
}