Pith Number

pith:ZFG5N3C5

pith:2019:ZFG5N3C5TGE6BRJPOMOREGX66V

not attested not anchored not stored refs pending

Towards Tight(er) Bounds for the Excluded Grid Theorem

Julia Chuzhoy, Zihan Tan

arxiv:1901.07944 v1 · 2019-01-23 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFG5N3C5TGE6BRJPOMOREGX66V}

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	2026-05-17T23:55:39.442504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94dd6ec5d9989e0c52f731d121afef57cc1f2265330ca90e156260585eb300f

Aliases

arxiv: 1901.07944 · arxiv_version: 1901.07944v1 · doi: 10.48550/arxiv.1901.07944 · pith_short_12: ZFG5N3C5TGE6 · pith_short_16: ZFG5N3C5TGE6BRJP · pith_short_8: ZFG5N3C5

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/ZFG5N3C5TGE6BRJPOMOREGX66V \
  | 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: c94dd6ec5d9989e0c52f731d121afef57cc1f2265330ca90e156260585eb300f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4e2463d6819f33c4bda9b531835c8ef1771bf99634c63e98e843e5c2ab90aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-01-23T15:22:32Z",
    "title_canon_sha256": "119dc6ddf1eb359df0acf229ed8d7751feb39b2422b74d84e37d23298e9c780f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07944",
    "kind": "arxiv",
    "version": 1
  }
}