Pith Number

pith:PYJQLM5H

pith:2015:PYJQLM5HJRK7BOLHH2ZO6VH2HC

not attested not anchored not stored refs pending

Proof complexity of intuitionistic implicational formulas

Emil Je\v{r}\'abek

arxiv:1512.05667 v3 · 2015-12-17 · cs.LO · 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{PYJQLM5HJRK7BOLHH2ZO6VH2HC}

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	2026-05-18T01:01:15.967791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1305b3a74c55f0b9673eb2ef54fa388705aa2d9cd9485c9a25eab13eb0224a

Aliases

arxiv: 1512.05667 · arxiv_version: 1512.05667v3 · doi: 10.48550/arxiv.1512.05667 · pith_short_12: PYJQLM5HJRK7 · pith_short_16: PYJQLM5HJRK7BOLH · pith_short_8: PYJQLM5H

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/PYJQLM5HJRK7BOLHH2ZO6VH2HC \
  | 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: 7e1305b3a74c55f0b9673eb2ef54fa388705aa2d9cd9485c9a25eab13eb0224a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f09fa2ec345a0ad8e4a62d2e6e5e10f5c4e96c290bd641a8cee2afc6076a6c2",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-12-17T16:50:32Z",
    "title_canon_sha256": "c0fd10776447b92a08f701647f49a014b3bb265c560dd7f8373ee30aaaf64141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05667",
    "kind": "arxiv",
    "version": 3
  }
}