Pith Number

pith:5PZJIFKN

pith:2016:5PZJIFKNCMU7SF2O4MOSINR4CB

not attested not anchored not stored refs pending

Varieties of Metric and Quantitative Algebras

Wataru Hino

arxiv:1612.06054 v1 · 2016-12-19 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PZJIFKNCMU7SF2O4MOSINR4CB}

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	2026-05-18T00:54:04.937160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf294154d1329f9174ee31d24363c105193ba36de1f75c54a9087b647bdeb58

Aliases

arxiv: 1612.06054 · arxiv_version: 1612.06054v1 · doi: 10.48550/arxiv.1612.06054 · pith_short_12: 5PZJIFKNCMU7 · pith_short_16: 5PZJIFKNCMU7SF2O · pith_short_8: 5PZJIFKN

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/5PZJIFKNCMU7SF2O4MOSINR4CB \
  | 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: ebf294154d1329f9174ee31d24363c105193ba36de1f75c54a9087b647bdeb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a99d7d14f4af756b16408a2cc05562e20c267e37b421b5b367945748971eb75",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-12-19T06:10:43Z",
    "title_canon_sha256": "7ef228a3a3296a91d09916fb14e15d3e298d4601a08749894354814ddce5c3f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06054",
    "kind": "arxiv",
    "version": 1
  }
}