Pith Number

pith:4MQP5QEP

pith:2021:4MQP5QEPXU42ZICCM3NTVP5UPE

not attested not anchored not stored refs pending

Larger Corner-Free Sets from Combinatorial Degenerations

Hoang Ta, Jeroen Zuiddam, Matthias Christandl, Omar Fawzi

arxiv:2111.08262 v1 · 2021-11-16 · cs.CC · 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{4MQP5QEPXU42ZICCM3NTVP5UPE}

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	2026-07-05T03:52:32.746874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e320fec08fbd39aca04266db3abfb4792163659431fdd8613e618264615f2dd6

Aliases

arxiv: 2111.08262 · arxiv_version: 2111.08262v1 · doi: 10.48550/arxiv.2111.08262 · pith_short_12: 4MQP5QEPXU42 · pith_short_16: 4MQP5QEPXU42ZICC · pith_short_8: 4MQP5QEP

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/4MQP5QEPXU42ZICCM3NTVP5UPE \
  | 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: e320fec08fbd39aca04266db3abfb4792163659431fdd8613e618264615f2dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802a295b02327cec3a691070db576cbb723b9dd28a323dc06bcd8cb16518d481",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2021-11-16T07:08:31Z",
    "title_canon_sha256": "3f96a79158fe1578280c25c171e5199f363da6547b0b6e658bf5f571275715b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08262",
    "kind": "arxiv",
    "version": 1
  }
}