Pith Number

pith:7DZOOT77

pith:2018:7DZOOT77EODJLH4SGVLXQ56IAU

not attested not anchored not stored refs pending

Real coextensions as a tool for constructing triangular norms

Thomas Vetterlein

arxiv:1808.10324 v1 · 2018-08-30 · 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{7DZOOT77EODJLH4SGVLXQ56IAU}

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	2026-05-18T00:06:49.140197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8f2e74fff2386959f9235577877c80537a44d977db74e5fee6c349e6abfb682

Aliases

arxiv: 1808.10324 · arxiv_version: 1808.10324v1 · doi: 10.48550/arxiv.1808.10324 · pith_short_12: 7DZOOT77EODJ · pith_short_16: 7DZOOT77EODJLH4S · pith_short_8: 7DZOOT77

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/7DZOOT77EODJLH4SGVLXQ56IAU \
  | 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: f8f2e74fff2386959f9235577877c80537a44d977db74e5fee6c349e6abfb682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ce69248db8a9806a02ce8da9e9657a7cac7f0addfcc9b346cd5c98a5b62575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-30T14:50:32Z",
    "title_canon_sha256": "8d503cdecaecbbc6e2917785a940024fb9966cdafbcf272a9c7f00c03fc53b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10324",
    "kind": "arxiv",
    "version": 1
  }
}