Pith Number

pith:6ETDTSJG

pith:2026:6ETDTSJGCU5IA6FFYCKRXXKS6A

not attested not anchored not stored refs pending

Nearly tight bounds for induced subdivisions

Aleksa Milojevi\'c, Benny Sudakov, Patryk Morawski, Zach Hunter

arxiv:2607.06444 v1 · 2026-07-07 · 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{6ETDTSJGCU5IA6FFYCKRXXKS6A}

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	2026-07-08T01:19:25.441815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12639c926153a8078a5c0951bdd52f0123a212754837053ba1956f585fcd3fd

Aliases

arxiv: 2607.06444 · arxiv_version: 2607.06444v1 · doi: 10.48550/arxiv.2607.06444 · pith_short_12: 6ETDTSJGCU5I · pith_short_16: 6ETDTSJGCU5IA6FF · pith_short_8: 6ETDTSJG

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/6ETDTSJGCU5IA6FFYCKRXXKS6A \
  | 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: f12639c926153a8078a5c0951bdd52f0123a212754837053ba1956f585fcd3fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ddc8f553695d8684865bd6f941cd1bca9a72d9b76f4c228affaccff5bb345a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T16:10:51Z",
    "title_canon_sha256": "d299db596582601385a04a8c64fd5636c463ab35dc06fcdcda1d94f8495b3083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06444",
    "kind": "arxiv",
    "version": 1
  }
}