Pith Number

pith:7WPPT2AH

pith:2016:7WPPT2AHQZZCCVXUEA42XPCUHO

not attested not anchored not stored refs pending

Solovay functions and their applications in algorithmic randomness

Andr\'e Nies, Laurent Bienvenu, Rod Downey, Wolfgang Merkle

arxiv:1603.08351 v1 · 2016-03-28 · 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{7WPPT2AHQZZCCVXUEA42XPCUHO}

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	2026-05-18T01:18:10.986892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9ef9e80786722156f42039abbc543b826628f7892e92f0db1cd31583e6a8ba

Aliases

arxiv: 1603.08351 · arxiv_version: 1603.08351v1 · doi: 10.48550/arxiv.1603.08351 · pith_short_12: 7WPPT2AHQZZC · pith_short_16: 7WPPT2AHQZZCCVXU · pith_short_8: 7WPPT2AH

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/7WPPT2AHQZZCCVXUEA42XPCUHO \
  | 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: fd9ef9e80786722156f42039abbc543b826628f7892e92f0db1cd31583e6a8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f842e90acd51e9598c2e97a42317d5cb423c8d2805c1eed37ed05341d194bcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-28T09:48:26Z",
    "title_canon_sha256": "9faac3fad6a8b8af16ebd791ad9d850fafa4bff6accca0d3437182add96165e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08351",
    "kind": "arxiv",
    "version": 1
  }
}