Pith Number

pith:7AMXMVMM

pith:2015:7AMXMVMM5HSPKRPI2HEZ2MVLZ5

not attested not anchored not stored refs pending

Asymptotic density and the coarse computability bound

Carl G. Jockusch, Denis R. Hirschfeldt, Jr., Paul E. Schupp, Timothy H. McNicholl

arxiv:1505.01901 v1 · 2015-05-08 · 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{7AMXMVMM5HSPKRPI2HEZ2MVLZ5}

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	2026-05-18T02:16:38.572272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81976558ce9e4f545e8d1c99d32abcf5a33f81c19c5a08596645c104912cbca

Aliases

arxiv: 1505.01901 · arxiv_version: 1505.01901v1 · doi: 10.48550/arxiv.1505.01901 · pith_short_12: 7AMXMVMM5HSP · pith_short_16: 7AMXMVMM5HSPKRPI · pith_short_8: 7AMXMVMM

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/7AMXMVMM5HSPKRPI2HEZ2MVLZ5 \
  | 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: f81976558ce9e4f545e8d1c99d32abcf5a33f81c19c5a08596645c104912cbca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c936d676b81ae282118f9d649398ae544d91fd33084d268615177f52fdbbf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-05-08T01:15:16Z",
    "title_canon_sha256": "4d04e6750d8caa68473a4457c3939e7cfc29eaf48e6a76cdf1b689f92e6350ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01901",
    "kind": "arxiv",
    "version": 1
  }
}