Pith Number

pith:P3F2BCGL

pith:2017:P3F2BCGLBVLU7BPOBQAY2ERUDW

not attested not anchored not stored refs pending

Join-completions of ordered algebras

Constantine Tsinakis, Hongjun Zhou, Jos\'e Gil-F\'erez, Luca Spada

arxiv:1708.04990 v1 · 2017-08-16 · 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{P3F2BCGLBVLU7BPOBQAY2ERUDW}

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	2026-05-18T00:37:55.065200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecba088cb0d574f85ee0c018d12341d89aea20dbb2c60120f11fcbbd25f28e2

Aliases

arxiv: 1708.04990 · arxiv_version: 1708.04990v1 · doi: 10.48550/arxiv.1708.04990 · pith_short_12: P3F2BCGLBVLU · pith_short_16: P3F2BCGLBVLU7BPO · pith_short_8: P3F2BCGL

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/P3F2BCGLBVLU7BPOBQAY2ERUDW \
  | 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: 7ecba088cb0d574f85ee0c018d12341d89aea20dbb2c60120f11fcbbd25f28e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30e469541837ac8b42155b4afce55aa249501c33a920620632cf1f55cf5cca5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-08-16T17:33:25Z",
    "title_canon_sha256": "7500a89c2083aa53e48cb88beff000a09f6698876bc1b758f69c9947a30bb311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04990",
    "kind": "arxiv",
    "version": 1
  }
}