Pith Number

pith:NC6YBVOP

pith:2013:NC6YBVOPQCBQFTIGV37LLGYXB3

not attested not anchored not stored refs pending

$\Sigma^1_2$ and $\Pi^1_1$ mad families

Asger T\"ornquist

arxiv:1310.3250 v1 · 2013-10-11 · 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{NC6YBVOPQCBQFTIGV37LLGYXB3}

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	2026-05-18T03:10:44.510853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68bd80d5cf808302cd06aefeb59b170ec992632663835ac214ac58f64fb2e28f

Aliases

arxiv: 1310.3250 · arxiv_version: 1310.3250v1 · doi: 10.48550/arxiv.1310.3250 · pith_short_12: NC6YBVOPQCBQ · pith_short_16: NC6YBVOPQCBQFTIG · pith_short_8: NC6YBVOP

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/NC6YBVOPQCBQFTIGV37LLGYXB3 \
  | 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: 68bd80d5cf808302cd06aefeb59b170ec992632663835ac214ac58f64fb2e28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25041bb8cb1f096d9847bc069a4e6c2723be7127f56e95a4c2a772c64177fb00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-10-11T19:17:41Z",
    "title_canon_sha256": "ea40617ea423f584f4fb1564d336dbfb5db0bdc54aa5bde3c2a9204f39ad5e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3250",
    "kind": "arxiv",
    "version": 1
  }
}