Pith Number

pith:4J7PAJ5Y

pith:2019:4J7PAJ5YSXSLAEH3O3IH2OU4RO

not attested not anchored not stored refs pending

Typal Heterogeneous Equality Types

Andrew M. Pitts

arxiv:1907.07501 v2 · 2019-07-17 · 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{4J7PAJ5YSXSLAEH3O3IH2OU4RO}

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	2026-07-05T04:04:34.171630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27ef027b895e4b010fb76d07d3a9c8bbc3a30f6810d54678c36d6c98c0f9fa0

Aliases

arxiv: 1907.07501 · arxiv_version: 1907.07501v2 · doi: 10.48550/arxiv.1907.07501 · pith_short_12: 4J7PAJ5YSXSL · pith_short_16: 4J7PAJ5YSXSLAEH3 · pith_short_8: 4J7PAJ5Y

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/4J7PAJ5YSXSLAEH3O3IH2OU4RO \
  | 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: e27ef027b895e4b010fb76d07d3a9c8bbc3a30f6810d54678c36d6c98c0f9fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191d71e448064626b34b7c702ff3db9725cf8a1d35b26b5bf2bd2e86d63f9375",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-07-17T13:20:16Z",
    "title_canon_sha256": "4d383dde0553243a0ceaaf84e114ba1c98d450a0e47ec9d438604d6e1f3687e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07501",
    "kind": "arxiv",
    "version": 2
  }
}