Pith Number

pith:2ZQHEWLT

pith:2018:2ZQHEWLTY3O6WOM4YLT6QO44KC

not attested not anchored not stored refs pending

Group operads as crossed interval groups

Jun Yoshida

arxiv:1806.03012 v1 · 2018-06-08 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZQHEWLTY3O6WOM4YLT6QO44KC}

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	2026-05-18T00:13:50.227342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d660725973c6ddeb399cc2e7e83b9c50ac96779ddc5d6dab22e043bd00966b1a

Aliases

arxiv: 1806.03012 · arxiv_version: 1806.03012v1 · doi: 10.48550/arxiv.1806.03012 · pith_short_12: 2ZQHEWLTY3O6 · pith_short_16: 2ZQHEWLTY3O6WOM4 · pith_short_8: 2ZQHEWLT

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/2ZQHEWLTY3O6WOM4YLT6QO44KC \
  | 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: d660725973c6ddeb399cc2e7e83b9c50ac96779ddc5d6dab22e043bd00966b1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ca1a35905ef45dc8e850d7f49f05c6aee3f82a2e4166f71c0aec9440fab7f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-06-08T08:14:26Z",
    "title_canon_sha256": "31dfcea5e9c946a15ac65389bf082e0511d601391309fa40e202f34f4d0c44a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03012",
    "kind": "arxiv",
    "version": 1
  }
}