Pith Number

pith:H25A5WU7

pith:2013:H25A5WU7BNKWZA44NTQCHRJJ26

not attested not anchored not stored refs pending

Asymptotic Density and Computably Enumerable Sets

Carl G. Jockusch Jr., Paul E. Schupp, Rodney G. Downey

arxiv:1307.0040 v1 · 2013-06-28 · 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{H25A5WU7BNKWZA44NTQCHRJJ26}

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	2026-05-18T03:19:34.378395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eba0eda9f0b556c839c6ce023c529d7a5b19d8a3f647e5d29caee27e9452742

Aliases

arxiv: 1307.0040 · arxiv_version: 1307.0040v1 · doi: 10.48550/arxiv.1307.0040 · pith_short_12: H25A5WU7BNKW · pith_short_16: H25A5WU7BNKWZA44 · pith_short_8: H25A5WU7

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/H25A5WU7BNKWZA44NTQCHRJJ26 \
  | 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: 3eba0eda9f0b556c839c6ce023c529d7a5b19d8a3f647e5d29caee27e9452742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb725ff5a25d2632b8427f17957b9b9dde5d8ca03df95f96faf1b47ba423260",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-28T22:23:50Z",
    "title_canon_sha256": "8e178ffe68d8d998216d213f3cbbeeea8f7ee5a278f45f6521ee0ca5d59d0e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0040",
    "kind": "arxiv",
    "version": 1
  }
}