Pith Number

pith:TCSK65PP

pith:2015:TCSK65PPQD6CIHFEEU6RKHJFBP

not attested not anchored not stored refs pending

Reverse Mathematical Bounds for the Termination Theorem

Keita Yokoyama, Silvia Steila

arxiv:1512.08622 v1 · 2015-12-29 · math.LO · cs.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{TCSK65PPQD6CIHFEEU6RKHJFBP}

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	2026-05-18T01:23:37.125501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a4af75ef80fc241ca4253d151d250bd0d2e2f94ec564220cb935806c58f7d4

Aliases

arxiv: 1512.08622 · arxiv_version: 1512.08622v1 · doi: 10.48550/arxiv.1512.08622 · pith_short_12: TCSK65PPQD6C · pith_short_16: TCSK65PPQD6CIHFE · pith_short_8: TCSK65PP

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/TCSK65PPQD6CIHFEEU6RKHJFBP \
  | 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: 98a4af75ef80fc241ca4253d151d250bd0d2e2f94ec564220cb935806c58f7d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c95240455da73e0cfdfe2153577a63d74956ef85cd5b89302a66721b16807a1",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-29T08:51:51Z",
    "title_canon_sha256": "6b32e6d3b39b10a2e4945e7399d36db9fcfaa70b41a4327c64615e2d4fe23aa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08622",
    "kind": "arxiv",
    "version": 1
  }
}