Pith Number

pith:SYS5CALL

pith:2026:SYS5CALLQALBUHRQIKFT5YDISU

not attested not anchored not stored refs pending

Induced Erd\H{o}s--P\'osa property for long holes, long thetas, and beyond

Amadeus Reinald, Jadwiga Czy\.zewska, Marcin Pilipczuk, Pawe{\l} Rz\k{a}\.zewski, Tom\'a\v{s} Masa\v{r}\'ik

arxiv:2607.07697 v1 · 2026-07-08 · 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{SYS5CALLQALBUHRQIKFT5YDISU}

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	2026-07-09T01:20:39.462223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9625d1016b80161a1e30428b3ee068953124aff7762d4af4730341c72afdb328

Aliases

arxiv: 2607.07697 · arxiv_version: 2607.07697v1 · doi: 10.48550/arxiv.2607.07697 · pith_short_12: SYS5CALLQALB · pith_short_16: SYS5CALLQALBUHRQ · pith_short_8: SYS5CALL

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/SYS5CALLQALBUHRQIKFT5YDISU \
  | 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: 9625d1016b80161a1e30428b3ee068953124aff7762d4af4730341c72afdb328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e512d69c9a4e9b45ae8afd52e146fe8132b947e274f835692a1f8bcff55400a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T17:55:18Z",
    "title_canon_sha256": "c5684de0ccfe737703f8ccf1e743ca856bbe3a2bc0c303223fb7867777485db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07697",
    "kind": "arxiv",
    "version": 1
  }
}