Pith Number

pith:5QEDTSRZ

pith:2015:5QEDTSRZV2NP5EFJHAQ27XBMOB

not attested not anchored not stored refs pending

Low, Superlow, and Superduperlow Sets: An Exposition of a Known But Not Well-Known Result

William Gasarch

arxiv:1501.02299 v1 · 2015-01-10 · 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{5QEDTSRZV2NP5EFJHAQ27XBMOB}

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	2026-05-18T02:29:38.325788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0839ca39ae9afe90a93821afdc2c7040e1ff267995e2a084718584d2a76cc4

Aliases

arxiv: 1501.02299 · arxiv_version: 1501.02299v1 · doi: 10.48550/arxiv.1501.02299 · pith_short_12: 5QEDTSRZV2NP · pith_short_16: 5QEDTSRZV2NP5EFJ · pith_short_8: 5QEDTSRZ

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/5QEDTSRZV2NP5EFJHAQ27XBMOB \
  | 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: ec0839ca39ae9afe90a93821afdc2c7040e1ff267995e2a084718584d2a76cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989103001b4ca63dfdda294b61f1568a3bfdac94cc7771f1998db92c2cbe91ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-10T01:46:24Z",
    "title_canon_sha256": "9daa51b252c35882a01995275d630dabb1d887125b47323c6fa7ce5f541b2294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02299",
    "kind": "arxiv",
    "version": 1
  }
}