Pith Number

pith:4FOTTEEN

pith:2016:4FOTTEENZDVWDFZT2QINAHDV6V

not attested not anchored not stored refs pending

A generalization of the Grid Theorem

Benson Joeris, Jim Geelen

arxiv:1609.09098 v1 · 2016-09-28 · 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{4FOTTEENZDVWDFZT2QINAHDV6V}

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

An Overview of Universal Obstructions for Graph Parameters

Receipt and verification

First computed	2026-05-18T01:03:40.228444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15d39908dc8eb619733d410d01c75f544cca84383c0ce17a8e0abd33bc0adb0

Aliases

arxiv: 1609.09098 · arxiv_version: 1609.09098v1 · doi: 10.48550/arxiv.1609.09098 · pith_short_12: 4FOTTEENZDVW · pith_short_16: 4FOTTEENZDVWDFZT · pith_short_8: 4FOTTEEN

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/4FOTTEENZDVWDFZT2QINAHDV6V \
  | 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: e15d39908dc8eb619733d410d01c75f544cca84383c0ce17a8e0abd33bc0adb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6276f069dcaae4e26ad7a767c41f40ecad2f8d2adc6682fd16f79a203814fd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-28T20:07:19Z",
    "title_canon_sha256": "fad9e72e520be0d4c1ad3f83740c22f48c8fc49d5a0ebbe8be8cd097f03df979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09098",
    "kind": "arxiv",
    "version": 1
  }
}