Pith Number

pith:Q75DZCOJ

pith:2016:Q75DZCOJQHR736PZ7MCWDI3NVY

not attested not anchored not stored refs pending

Sch\"utzenberger Products in a Category

Henning Urbat, Liang-Ting Chen

arxiv:1605.01810 v1 · 2016-05-06 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q75DZCOJQHR736PZ7MCWDI3NVY}

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	2026-05-18T01:15:31.350722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87fa3c89c981e3fdf9f9fb0561a36dae1b1a8d13fcdce7e8d2a38c18b43fb5e4

Aliases

arxiv: 1605.01810 · arxiv_version: 1605.01810v1 · doi: 10.48550/arxiv.1605.01810 · pith_short_12: Q75DZCOJQHR7 · pith_short_16: Q75DZCOJQHR736PZ · pith_short_8: Q75DZCOJ

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/Q75DZCOJQHR736PZ7MCWDI3NVY \
  | 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: 87fa3c89c981e3fdf9f9fb0561a36dae1b1a8d13fcdce7e8d2a38c18b43fb5e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7a7af77588b44847cd123999e9e1805d450a652c5cbe6da13960fc21aa8b3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-05-06T03:31:11Z",
    "title_canon_sha256": "345e149a909cf4559eae86da6277f27557026342b1bb6fb8446c4881176941b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01810",
    "kind": "arxiv",
    "version": 1
  }
}