Pith Number

pith:XUKXARBS

pith:2018:XUKXARBSWZE5YLJAFXQ3HZAY2U

not attested not anchored not stored refs pending

A categorification of biclosed sets of strings

Alexander Garver, Kaveh Mousavand, Thomas McConville

arxiv:1808.10346 v1 · 2018-08-30 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUKXARBSWZE5YLJAFXQ3HZAY2U}

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	2026-05-18T00:06:49.084621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd15704432b649dc2d202de1b3e418d51517e46c264f03ac4782b8c5a33be058

Aliases

arxiv: 1808.10346 · arxiv_version: 1808.10346v1 · doi: 10.48550/arxiv.1808.10346 · pith_short_12: XUKXARBSWZE5 · pith_short_16: XUKXARBSWZE5YLJA · pith_short_8: XUKXARBS

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/XUKXARBSWZE5YLJAFXQ3HZAY2U \
  | 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: bd15704432b649dc2d202de1b3e418d51517e46c264f03ac4782b8c5a33be058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7f23f46c4103a31713ee115bf156cbe4f543ca5a1e8df6fc71d8c3a42cf8eb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-08-30T15:17:22Z",
    "title_canon_sha256": "98ac53f11ebae18a3b774172ca2a88592987b74e2e968b71d1f7c2aaafba2d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10346",
    "kind": "arxiv",
    "version": 1
  }
}