Pith Number

pith:J2FNC5PX

pith:2022:J2FNC5PXHU5I7QOWBVYW5OKGYC

not attested not anchored not stored refs pending

Complete and tractable machine-independent characterizations of second-order polytime

Bruce M. Kapron, Emmanuel Hainry, Jean-Yves Marion, Romain P\'echoux

arxiv:2208.14739 v5 · 2022-08-31 · cs.LO · cs.CC · 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{J2FNC5PXHU5I7QOWBVYW5OKGYC}

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	2026-07-05T10:06:26.709390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8ad175f73d3a8fc1d60d716eb946c0ac5d66cb490070f2a00cb3c796183f19

Aliases

arxiv: 2208.14739 · arxiv_version: 2208.14739v5 · doi: 10.48550/arxiv.2208.14739 · pith_short_12: J2FNC5PXHU5I · pith_short_16: J2FNC5PXHU5I7QOW · pith_short_8: J2FNC5PX

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/J2FNC5PXHU5I7QOWBVYW5OKGYC \
  | 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: 4e8ad175f73d3a8fc1d60d716eb946c0ac5d66cb490070f2a00cb3c796183f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa514f3009c0aba2329e6e5256b499193c2d7f98d95b32d0e5fe2f0570f6fc12",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-08-31T09:39:46Z",
    "title_canon_sha256": "83907b4261d2fd6dcd23e750f75960fceb8ee72ce692509effdd5cb3e8cfee57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.14739",
    "kind": "arxiv",
    "version": 5
  }
}