Pith Number

pith:RQCQKEJG

pith:2025:RQCQKEJGJDHXH474ENV52R32NL

not attested not anchored not stored refs pending

A coarse Halin Grid Theorem with applications to quasi-transitive, locally finite graphs

Matthias Hamann, Sandra Albrechtsen

arxiv:2507.12973 v2 · 2025-07-17 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQCQKEJGJDHXH474ENV52R32NL}

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.

Cited by

1 paper in Pith

A coarse Menger's Theorem for planar and bounded genus graphs

Receipt and verification

First computed	2026-05-27T01:05:35.785106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c0505112648cf73f3fc236bdd477a6ae593fff8e3a9b688c142b8918407f242

Aliases

arxiv: 2507.12973 · arxiv_version: 2507.12973v2 · doi: 10.48550/arxiv.2507.12973 · pith_short_12: RQCQKEJGJDHX · pith_short_16: RQCQKEJGJDHXH474 · pith_short_8: RQCQKEJG

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/RQCQKEJGJDHXH474ENV52R32NL \
  | 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: 8c0505112648cf73f3fc236bdd477a6ae593fff8e3a9b688c142b8918407f242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d728939a929e086b44b21fbf9a76950d50d4f866b6da8c6c2f18016ff6dadba9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-17T10:22:05Z",
    "title_canon_sha256": "07b128d53eba6058cbef1135abccabe577348733ff4035fd7a5c5713d6b76c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12973",
    "kind": "arxiv",
    "version": 2
  }
}