Pith Number

pith:64DU3HIF

pith:2014:64DU3HIFQRXT3DF35KTWM5TONA

not attested not anchored not stored refs pending

End-extensions of models of weak arithmetic from complexity-theoretic containments

Leszek Aleksander Ko{\l}odziejczyk

arxiv:1411.6864 v1 · 2014-11-25 · 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{64DU3HIFQRXT3DF35KTWM5TONA}

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	2026-05-18T02:32:47.124410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7074d9d05846f3d8cbbeaa766766e6828cd7a1816c0c83d4d881d2abc63e462

Aliases

arxiv: 1411.6864 · arxiv_version: 1411.6864v1 · doi: 10.48550/arxiv.1411.6864 · pith_short_12: 64DU3HIFQRXT · pith_short_16: 64DU3HIFQRXT3DF3 · pith_short_8: 64DU3HIF

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/64DU3HIFQRXT3DF35KTWM5TONA \
  | 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: f7074d9d05846f3d8cbbeaa766766e6828cd7a1816c0c83d4d881d2abc63e462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d57dd6c798473835532dafdf294a1ddbdec4d90cf64c66ebab246dce3914f6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-11-25T13:39:51Z",
    "title_canon_sha256": "fcd3a652710514ff682a6e8ed64f5e73e20460f6748d6c5fcf21aada564b820a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6864",
    "kind": "arxiv",
    "version": 1
  }
}