Pith Number

pith:GRW44PR3

pith:2021:GRW44PR34N24GHCLHST45HCA5P

not attested not anchored not stored refs pending

Linear Bounds for Cycle-free Saturation Games

Erin Meger, Grace McCourt, Michael S. Ross, Sam Spiro, Sean English, Tom\'a\v{s} Masa\v{r}\'ik

arxiv:2108.05295 v1 · 2021-08-11 · math.CO · 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{GRW44PR34N24GHCLHST45HCA5P}

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	2026-07-05T04:51:33.966586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

346dce3e3be375c31c4b3ca7ce9c40ebf77ad945fc09d35b3d6f8b938717919b

Aliases

arxiv: 2108.05295 · arxiv_version: 2108.05295v1 · doi: 10.48550/arxiv.2108.05295 · pith_short_12: GRW44PR34N24 · pith_short_16: GRW44PR34N24GHCL · pith_short_8: GRW44PR3

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/GRW44PR34N24GHCLHST45HCA5P \
  | 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: 346dce3e3be375c31c4b3ca7ce9c40ebf77ad945fc09d35b3d6f8b938717919b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b858334fedb9f6d59eb705098c452f199883bc3c59038fe588c660a1b476a35f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-11T16:02:48Z",
    "title_canon_sha256": "ea756291b80b9fd2968fdae07f260a8f9ed2294475e1cdfa5e283862369d7dfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.05295",
    "kind": "arxiv",
    "version": 1
  }
}