Pith Number

pith:QWLUFYZZ

pith:2014:QWLUFYZZQYRLRT32NWLTIYTUMK

not attested not anchored not stored refs pending

Open induction in a bounded arithmetic for TC^0

Emil Je\v{r}\'abek

arxiv:1404.7435 v2 · 2014-04-29 · 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{QWLUFYZZQYRLRT32NWLTIYTUMK}

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	2026-05-18T02:20:36.864733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859742e3398622b8cf7a6d97346274628b63cb788ed64b605384986f6af9c8ca

Aliases

arxiv: 1404.7435 · arxiv_version: 1404.7435v2 · doi: 10.48550/arxiv.1404.7435 · pith_short_12: QWLUFYZZQYRL · pith_short_16: QWLUFYZZQYRLRT32 · pith_short_8: QWLUFYZZ

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/QWLUFYZZQYRLRT32NWLTIYTUMK \
  | 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: 859742e3398622b8cf7a6d97346274628b63cb788ed64b605384986f6af9c8ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f440d79772fdbf45b9d47b4f40baacdf695d5cb72f471fc09dd96541a05ca8",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-04-29T17:11:05Z",
    "title_canon_sha256": "08a900fde3224024932c35fb696a15d17e95d37c6d4b3a6bfbde0c55cfa93fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7435",
    "kind": "arxiv",
    "version": 2
  }
}