Pith Number

pith:7PA7EHEZ

pith:2018:7PA7EHEZKR5ECL6ZG435PP2I6Z

not attested not anchored not stored refs pending

Polynomial Treedepth Bounds in Linear Colorings

Blair D. Sullivan, Jeremy Kun, Marcin Pilipczuk, Michael P. O'Brien

arxiv:1802.09665 v4 · 2018-02-27 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PA7EHEZKR5ECL6ZG435PP2I6Z}

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	2026-05-18T00:09:52.613509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc1f21c99547a412fd93737d7bf48f678db927ba96d739a1df00a8ec7dbfe5a

Aliases

arxiv: 1802.09665 · arxiv_version: 1802.09665v4 · doi: 10.48550/arxiv.1802.09665 · pith_short_12: 7PA7EHEZKR5E · pith_short_16: 7PA7EHEZKR5ECL6Z · pith_short_8: 7PA7EHEZ

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/7PA7EHEZKR5ECL6ZG435PP2I6Z \
  | 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: fbc1f21c99547a412fd93737d7bf48f678db927ba96d739a1df00a8ec7dbfe5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa33364d5ea509f649623e1e3fb27fda99708b4f3852ae55706f63092b307ccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-02-27T01:13:43Z",
    "title_canon_sha256": "ca80b5896397b63d43d6ba16ee217ad484e6e2940cfa0b22fd5add4206b10369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09665",
    "kind": "arxiv",
    "version": 4
  }
}