Pith Number

pith:P3CADRXA

pith:2026:P3CADRXAYMPHQ2557K7R64U4DV

not attested not anchored not stored refs pending

Fractional Helly property and combinatorics of forking in NTP$_2$ theories

Artem Chernikov, Chuyin Jiang

arxiv:2605.18123 v1 · 2026-05-18 · math.LO · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3CADRXAYMPHQ2557K7R64U4DV}

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	2026-05-20T00:05:17.071135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec401c6e0c31e786bbdfabf1f729c1d5a8cbf7376810fc1bfda5ebdcd19ec37

Aliases

arxiv: 2605.18123 · arxiv_version: 2605.18123v1 · doi: 10.48550/arxiv.2605.18123 · pith_short_12: P3CADRXAYMPH · pith_short_16: P3CADRXAYMPHQ255 · pith_short_8: P3CADRXA

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/P3CADRXAYMPHQ2557K7R64U4DV \
  | 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: 7ec401c6e0c31e786bbdfabf1f729c1d5a8cbf7376810fc1bfda5ebdcd19ec37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22b6b1141d207b722a765138597429811af2af1c6c7b3df367307ceeb45cff6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-18T09:30:00Z",
    "title_canon_sha256": "5a8ff7f87344a27eb567e64d23e19bd2d66a45bb1ab1ba26cc399e900b6350e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18123",
    "kind": "arxiv",
    "version": 1
  }
}