Pith Number

pith:MLHZKTLT

pith:2021:MLHZKTLTQ4YTDUD7L4634XNMMF

not attested not anchored not stored refs pending

An Equational Logical Framework for Type Theories

Robert Harper

arxiv:2106.01484 v1 · 2021-06-02 · math.LO · 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{MLHZKTLTQ4YTDUD7L4634XNMMF}

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.

Cited by

1 paper in Pith

Directed proof-relevant logical relations in simplicial HoTT

Receipt and verification

First computed	2026-07-05T02:45:51.957068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62cf954d73873131d07f5f3dbe5dac6152e1a2eedcbd6298163af359afaf4396

Aliases

arxiv: 2106.01484 · arxiv_version: 2106.01484v1 · doi: 10.48550/arxiv.2106.01484 · pith_short_12: MLHZKTLTQ4YT · pith_short_16: MLHZKTLTQ4YTDUD7 · pith_short_8: MLHZKTLT

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/MLHZKTLTQ4YTDUD7L4634XNMMF \
  | 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: 62cf954d73873131d07f5f3dbe5dac6152e1a2eedcbd6298163af359afaf4396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e90991e380e49ed814ea7aacd945f5148d2d8148de6f6259cc742cb21d40c51",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-06-02T21:50:56Z",
    "title_canon_sha256": "5360569dc68580c10ab6ee37bffe28b5f435f43daf882a741fe1d601764cf906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01484",
    "kind": "arxiv",
    "version": 1
  }
}