Pith Number

pith:TAZWPZS3

pith:2020:TAZWPZS3YY5WD7DNZHSM6WHYZJ

not attested not anchored not stored refs pending

Linearizing Combinators

Jean-Simon Pacaud Lemay, Robin Cockett

arxiv:2010.15490 v4 · 2020-10-29 · math.CT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAZWPZS3YY5WD7DNZHSM6WHYZJ}

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	2026-07-05T03:58:00.648573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

983367e65bc63b61fc6dc9e4cf58f8ca51a9c39a0bea3928a79aefe8769dc540

Aliases

arxiv: 2010.15490 · arxiv_version: 2010.15490v4 · doi: 10.48550/arxiv.2010.15490 · pith_short_12: TAZWPZS3YY5W · pith_short_16: TAZWPZS3YY5WD7DN · pith_short_8: TAZWPZS3

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/TAZWPZS3YY5WD7DNZHSM6WHYZJ \
  | 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: 983367e65bc63b61fc6dc9e4cf58f8ca51a9c39a0bea3928a79aefe8769dc540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba09de1820b18117b1af708832bc97f470020f4f9ca34c6a9a1f5e7cc3247c52",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-10-29T11:17:10Z",
    "title_canon_sha256": "1e015577953130144e266c154a4dabb4312d16e3729c99f24d30d1e10a64db13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15490",
    "kind": "arxiv",
    "version": 4
  }
}