Pith Number

pith:KWECGVNO

pith:2016:KWECGVNOILWZKGUS5ZF3QZX2JI

not attested not anchored not stored refs pending

The higher sharp I: on $M_1^\#$

Yizheng Zhu

arxiv:1604.00481 v4 · 2016-04-02 · 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{KWECGVNOILWZKGUS5ZF3QZX2JI}

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	2026-05-18T00:43:13.427685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55882355ae42ed951a92ee4bb866fa4a2ae834ded5c481443d6f4e5c7ede240c

Aliases

arxiv: 1604.00481 · arxiv_version: 1604.00481v4 · doi: 10.48550/arxiv.1604.00481 · pith_short_12: KWECGVNOILWZ · pith_short_16: KWECGVNOILWZKGUS · pith_short_8: KWECGVNO

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/KWECGVNOILWZKGUS5ZF3QZX2JI \
  | 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: 55882355ae42ed951a92ee4bb866fa4a2ae834ded5c481443d6f4e5c7ede240c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a948b9e5f2ef04cf478d94c03e7e1b66630188bca0eca9f92f38744a14036d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-04-02T09:49:22Z",
    "title_canon_sha256": "b8da5154d0853324b8badabd5a22595dd321f5cb724d7941061e44e9c5fc0a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00481",
    "kind": "arxiv",
    "version": 4
  }
}