Pith Number

pith:7PTFXMQL

pith:2016:7PTFXMQL7MI4AZTQQVIGQZ6AL3

not attested not anchored not stored refs pending

On the existence of a strong minimal pair

George Barmpalias, Mingzhong Cai, Steffen Lempp, Theodore A. Slaman

arxiv:1610.03591 v1 · 2016-10-12 · 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{7PTFXMQL7MI4AZTQQVIGQZ6AL3}

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	2026-05-18T01:02:29.835911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe65bb20bfb11c0667085506867c05eff48f3da18682205b3872b1a1dd5133b

Aliases

arxiv: 1610.03591 · arxiv_version: 1610.03591v1 · doi: 10.48550/arxiv.1610.03591 · pith_short_12: 7PTFXMQL7MI4 · pith_short_16: 7PTFXMQL7MI4AZTQ · pith_short_8: 7PTFXMQL

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/7PTFXMQL7MI4AZTQQVIGQZ6AL3 \
  | 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: fbe65bb20bfb11c0667085506867c05eff48f3da18682205b3872b1a1dd5133b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0594272ae0cf72361c1241d74dfe0817fc80a4b8098649b57a25025bb2b80d09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-10-12T03:41:05Z",
    "title_canon_sha256": "67c98ebc930a9317d0d88ecf7cc9dc112824a2e3814a4e8d5f076fb1b2423bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03591",
    "kind": "arxiv",
    "version": 1
  }
}