Pith Number

pith:RFRIEAUJ

pith:2017:RFRIEAUJGB7RG2CUMTDQCTLAC6

not attested not anchored not stored refs pending

Graphs without large $K_{2,n}$-minors

Guoli Ding

arxiv:1702.01355 v1 · 2017-02-05 · 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{RFRIEAUJGB7RG2CUMTDQCTLAC6}

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	2026-05-18T00:51:23.668155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8962820289307f13685464c7014d601787ce86f6c21f0d6a36a222f19a278101

Aliases

arxiv: 1702.01355 · arxiv_version: 1702.01355v1 · doi: 10.48550/arxiv.1702.01355 · pith_short_12: RFRIEAUJGB7R · pith_short_16: RFRIEAUJGB7RG2CU · pith_short_8: RFRIEAUJ

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/RFRIEAUJGB7RG2CUMTDQCTLAC6 \
  | 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: 8962820289307f13685464c7014d601787ce86f6c21f0d6a36a222f19a278101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9899f21082f46849690a7e5e1ea3518e8f341e197bc90935e8d4991e0b9a105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-05T00:38:24Z",
    "title_canon_sha256": "a119a1337e6be8391e98bb542c2f55442d06929362685d6d8eec73ce08bf98a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01355",
    "kind": "arxiv",
    "version": 1
  }
}