Pith Number

pith:XGMG556R

pith:2016:XGMG556RYTIQTFELHBL5XKVJPM

not attested not anchored not stored refs pending

Improved Bounds for the Excluded Grid Theorem

Julia Chuzhoy

arxiv:1602.02629 v1 · 2016-02-08 · cs.DM · 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{XGMG556RYTIQTFELHBL5XKVJPM}

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	2026-05-18T01:21:09.291675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9986ef7d1c4d109948b3857dbaaa97b1d7f22bb1d399576ddb8f7a89a49f575

Aliases

arxiv: 1602.02629 · arxiv_version: 1602.02629v1 · doi: 10.48550/arxiv.1602.02629 · pith_short_12: XGMG556RYTIQ · pith_short_16: XGMG556RYTIQTFEL · pith_short_8: XGMG556R

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/XGMG556RYTIQTFELHBL5XKVJPM \
  | 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: b9986ef7d1c4d109948b3857dbaaa97b1d7f22bb1d399576ddb8f7a89a49f575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "157984aaab4d82d47e6fc426ea9c9b9c06711a43685bc94f5bb55520a9462310",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-02-08T16:12:56Z",
    "title_canon_sha256": "afd73ecaf2888529d99a7f0eb5a99179d235c0234a68cc3794049750dafca1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02629",
    "kind": "arxiv",
    "version": 1
  }
}