Pith Number

pith:IOGPDSCC

pith:2025:IOGPDSCCLKBGIHCXCKKOIBUC3J

not attested not anchored not stored refs pending

Dependent Types Simplified

Tristan Bice

arxiv:2507.04071 v2 · 2025-07-05 · math.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{IOGPDSCCLKBGIHCXCKKOIBUC3J}

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	2026-07-05T11:49:11.185067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438cf1c8425a82641c571294e40682da40654f106efb6c040e05d76d26b4f3e2

Aliases

arxiv: 2507.04071 · arxiv_version: 2507.04071v2 · doi: 10.48550/arxiv.2507.04071 · pith_short_12: IOGPDSCCLKBG · pith_short_16: IOGPDSCCLKBGIHCX · pith_short_8: IOGPDSCC

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/IOGPDSCCLKBGIHCXCKKOIBUC3J \
  | 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: 438cf1c8425a82641c571294e40682da40654f106efb6c040e05d76d26b4f3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffdcdfa0d86587f11045b67a3dd8d12b487ec29fe0c79e59ab2b2b6014b834d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-05T15:22:48Z",
    "title_canon_sha256": "01c576746c9dbd41361f54a345b5a957fb6431bed1147aad81af312fa78908a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04071",
    "kind": "arxiv",
    "version": 2
  }
}