Pith Number

pith:DOZ7GVVR

pith:2017:DOZ7GVVRH5RVQ4QJ4DHGRLZUQZ

not attested not anchored not stored refs pending

Equilibrium states and growth of quasi-lattice ordered monoids

Aidan Sims, Chris Bruce, Jacqui Ramagge, Marcelo Laca

arxiv:1709.07606 v1 · 2017-09-22 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOZ7GVVRH5RVQ4QJ4DHGRLZUQZ}

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	2026-05-17T23:51:09.829675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb3f356b13f63587209e0ce68af348663001ec20e4aea8fb51fc45a8a73d0f4

Aliases

arxiv: 1709.07606 · arxiv_version: 1709.07606v1 · doi: 10.48550/arxiv.1709.07606 · pith_short_12: DOZ7GVVRH5RV · pith_short_16: DOZ7GVVRH5RVQ4QJ · pith_short_8: DOZ7GVVR

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/DOZ7GVVRH5RVQ4QJ4DHGRLZUQZ \
  | 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: 1bb3f356b13f63587209e0ce68af348663001ec20e4aea8fb51fc45a8a73d0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83699607a2b1dcf5cbec087a805463c744c024deb101d72885d006fa65486af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-09-22T06:15:07Z",
    "title_canon_sha256": "a6b5a4eda7f85df807590f28632270d8228d33848dbe4ae3a6326ae0c9e28fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07606",
    "kind": "arxiv",
    "version": 1
  }
}