Pith Number

pith:6QPT3JBN

pith:2013:6QPT3JBN6NBOW6RHOSIGTMH3BD

not attested not anchored not stored refs pending

Tight spans, Isbell completions and semi-tropical modules

Simon Willerton

arxiv:1302.4370 v1 · 2013-02-18 · math.CT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QPT3JBN6NBOW6RHOSIGTMH3BD}

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	2026-05-18T03:33:14.736392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41f3da42df342eb7a27749069b0fb08e88dda76dff87a5c7a504916485de2e7

Aliases

arxiv: 1302.4370 · arxiv_version: 1302.4370v1 · doi: 10.48550/arxiv.1302.4370 · pith_short_12: 6QPT3JBN6NBO · pith_short_16: 6QPT3JBN6NBOW6RH · pith_short_8: 6QPT3JBN

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/6QPT3JBN6NBOW6RHOSIGTMH3BD \
  | 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: f41f3da42df342eb7a27749069b0fb08e88dda76dff87a5c7a504916485de2e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56968f2b46a5205fe49125643e4bc3be03a4bf17256e4cf86e4d86ad287b12af",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-02-18T17:50:00Z",
    "title_canon_sha256": "b2142601b050620764356633f6cb24d8e49d26a1d4a13d4a656a9f57901ef515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4370",
    "kind": "arxiv",
    "version": 1
  }
}