Pith Number

pith:7XRKXKLC

pith:2016:7XRKXKLCU4SUXUTCLNM6OLRVQP

not attested not anchored not stored refs pending

Deciding equivalence with sums and the empty type

Gabriel Scherer

arxiv:1610.01213 v3 · 2016-10-04 · cs.PL · 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{7XRKXKLCU4SUXUTCLNM6OLRVQP}

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	2026-05-18T00:59:57.034768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde2aba962a7254bd2625b59e72e3583d45d8782e8f364ca703adc0a7699ef50

Aliases

arxiv: 1610.01213 · arxiv_version: 1610.01213v3 · doi: 10.48550/arxiv.1610.01213 · pith_short_12: 7XRKXKLCU4SU · pith_short_16: 7XRKXKLCU4SUXUTC · pith_short_8: 7XRKXKLC

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/7XRKXKLCU4SUXUTCLNM6OLRVQP \
  | 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: fde2aba962a7254bd2625b59e72e3583d45d8782e8f364ca703adc0a7699ef50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655abf95d6390e36806c98c89e7921d390b6372af2d6281f83398e50268f675d",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2016-10-04T21:37:45Z",
    "title_canon_sha256": "7bcdab0d6ed6d32f852ebec04f63d1ff57f975d73c4fa6ec634890bb382fda6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01213",
    "kind": "arxiv",
    "version": 3
  }
}