Pith Number

pith:EKVNX2M2

pith:2026:EKVNX2M2O35MMB6BQENRJF5G7E

not attested not anchored not stored refs pending

Vaught's Conjecture for Unions of Products of Rooted Trees

Milo\v{s} S. Kurili\'c

arxiv:2606.12014 v1 · 2026-06-10 · 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{EKVNX2M2O35MMB6BQENRJF5G7E}

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	2026-06-11T01:10:42.840599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22aadbe99a76fac607c1811b1497a6f91dddb6199a6e54db5ed8bfef952f6de7

Aliases

arxiv: 2606.12014 · arxiv_version: 2606.12014v1 · doi: 10.48550/arxiv.2606.12014 · pith_short_12: EKVNX2M2O35M · pith_short_16: EKVNX2M2O35MMB6B · pith_short_8: EKVNX2M2

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/EKVNX2M2O35MMB6BQENRJF5G7E \
  | 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: 22aadbe99a76fac607c1811b1497a6f91dddb6199a6e54db5ed8bfef952f6de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470be8ac01e00adf764280389440ddd10235809f626a3a30cc4fe550b4d7d0b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-10T12:40:25Z",
    "title_canon_sha256": "7db769c54ffe238a9c713660ddb8abd7707ec2612da5dd1c11c2fe80588d01c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12014",
    "kind": "arxiv",
    "version": 1
  }
}