Pith Number

pith:I2D6AQFP

pith:2016:I2D6AQFPHNKRTZ4WGSSQON5BEC

not attested not anchored not stored refs pending

Randomized feasible interpolation and monotone circuits with a local oracle

Jan Krajicek

arxiv:1611.08680 v4 · 2016-11-26 · math.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2D6AQFPHNKRTZ4WGSSQON5BEC}

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	2026-05-18T00:00:09.453580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4687e040af3b5519e79634a50737a120930b7bc15d2daf2aecf3cb25f71dcb10

Aliases

arxiv: 1611.08680 · arxiv_version: 1611.08680v4 · doi: 10.48550/arxiv.1611.08680 · pith_short_12: I2D6AQFPHNKR · pith_short_16: I2D6AQFPHNKRTZ4W · pith_short_8: I2D6AQFP

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/I2D6AQFPHNKRTZ4WGSSQON5BEC \
  | 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: 4687e040af3b5519e79634a50737a120930b7bc15d2daf2aecf3cb25f71dcb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c356d44847ab6cc2e88dd769fb8ae76be302bb9925822e1cc2af0826132ec9",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-11-26T09:08:13Z",
    "title_canon_sha256": "decea2f238c58c67e9c7fd85e34537d1ebc9922ef0dce7e7173387efebacf10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08680",
    "kind": "arxiv",
    "version": 4
  }
}