Pith Number

pith:GCHEFLYV

pith:2014:GCHEFLYVFHXGDYMTSVSVJBLHD5

not attested not anchored not stored refs pending

Small universal families of graphs on $\aleph_{\omega+1}$

Charles Morgan, James Cummings, Mirna D\v{z}amonja

arxiv:1408.4188 v1 · 2014-08-19 · 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{GCHEFLYVFHXGDYMTSVSVJBLHD5}

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	2026-05-18T02:44:55.940116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308e42af1529ee61e19395655485671f7866b249d58b0620e65dc868b2b6929b

Aliases

arxiv: 1408.4188 · arxiv_version: 1408.4188v1 · doi: 10.48550/arxiv.1408.4188 · pith_short_12: GCHEFLYVFHXG · pith_short_16: GCHEFLYVFHXGDYMT · pith_short_8: GCHEFLYV

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/GCHEFLYVFHXGDYMTSVSVJBLHD5 \
  | 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: 308e42af1529ee61e19395655485671f7866b249d58b0620e65dc868b2b6929b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4126b127c5350b038c0842b57a5f131f1aad65d3b548a657a04d729104f7c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-19T01:42:24Z",
    "title_canon_sha256": "725b4f75b9f6fe7a93f2f306425a91d8f569b95e93b337723b71baf24c00f627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4188",
    "kind": "arxiv",
    "version": 1
  }
}