Pith Number

pith:APUECHD2

pith:2018:APUECHD2LBRN3UXCZBBCVCNROW

not attested not anchored not stored refs pending

Ordering groups and validity in lattice-ordered groups

Almudena Colacito, George Metcalfe

arxiv:1809.02574 v1 · 2018-09-07 · 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{APUECHD2LBRN3UXCZBBCVCNROW}

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	2026-05-18T00:06:16.722525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e8411c7a5862ddd2e2c8422a89b1759789c4a3dc0e3a2dd9e2239b0da1cef8

Aliases

arxiv: 1809.02574 · arxiv_version: 1809.02574v1 · doi: 10.48550/arxiv.1809.02574 · pith_short_12: APUECHD2LBRN · pith_short_16: APUECHD2LBRN3UXC · pith_short_8: APUECHD2

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/APUECHD2LBRN3UXCZBBCVCNROW \
  | 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: 03e8411c7a5862ddd2e2c8422a89b1759789c4a3dc0e3a2dd9e2239b0da1cef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99507a1b70d2c57a315f529c545f32b0d604a6bea31a0bf7ad1378cf1c1b1e8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-09-07T16:52:47Z",
    "title_canon_sha256": "fb39faf99a372fc0859c85b60036e8a3fd3c6b97ceebcfcac3a1f51c7b0fcbbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02574",
    "kind": "arxiv",
    "version": 1
  }
}