Pith Number

pith:GJRQDI3S

pith:2026:GJRQDI3SGUUT4RVJTHX3ROPSOB

not attested not anchored not stored refs pending

Practical Range Refinement Types with Inference

Carlo A. Furia, Valentin Aebi

arxiv:2607.00824 v1 · 2026-07-01 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJRQDI3SGUUT4RVJTHX3ROPSOB}

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	2026-07-02T01:17:56.362105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326301a37235293e46a999efb8b9f2707f3a1f5778ab99bb985deab74be27957

Aliases

arxiv: 2607.00824 · arxiv_version: 2607.00824v1 · doi: 10.48550/arxiv.2607.00824 · pith_short_12: GJRQDI3SGUUT · pith_short_16: GJRQDI3SGUUT4RVJ · pith_short_8: GJRQDI3S

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/GJRQDI3SGUUT4RVJTHX3ROPSOB \
  | 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: 326301a37235293e46a999efb8b9f2707f3a1f5778ab99bb985deab74be27957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ffac4c84dff611b30b14646d1dec63dcf68c9593fb020f393979e55fd6bf17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2026-07-01T11:44:33Z",
    "title_canon_sha256": "c9d5537d71a9e0095db3b92b73135086f0124104aa6120332f551835b2a275b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00824",
    "kind": "arxiv",
    "version": 1
  }
}