Pith Number

pith:ZUCAAFQS

pith:2018:ZUCAAFQSW6DF3LERJEQ5MAVO3D

not attested not anchored not stored refs pending

The Open Graph Axiom and Menger's Conjecture

Franklin D. Tall, Se\c{c}il Tokg\"oz, Stevo Todorcevic

arxiv:1803.08578 v1 · 2018-03-22 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUCAAFQSW6DF3LERJEQ5MAVO3D}

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	2026-05-18T00:20:19.235877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd04001612b7865dac914921d602aed8ebb05aebf6855acfe675786fa9bb7dda

Aliases

arxiv: 1803.08578 · arxiv_version: 1803.08578v1 · doi: 10.48550/arxiv.1803.08578 · pith_short_12: ZUCAAFQSW6DF · pith_short_16: ZUCAAFQSW6DF3LER · pith_short_8: ZUCAAFQS

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/ZUCAAFQSW6DF3LERJEQ5MAVO3D \
  | 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: cd04001612b7865dac914921d602aed8ebb05aebf6855acfe675786fa9bb7dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61410a769cc881224e816ae3594fff941b33f0dde16ca5211c9046c12fad026",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-03-22T20:38:31Z",
    "title_canon_sha256": "0b134759be83fdf91824c07be9693642efd6b95ab785450785ff986c60467828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08578",
    "kind": "arxiv",
    "version": 1
  }
}