Pith Number

pith:MXQQDURQ

pith:2024:MXQQDURQHDR72OPOFY6BSMINBP

not attested not anchored not stored refs pending

On the $N$-set occupancy problem

Ciprian Demeter, Ruixiang Zhang

arxiv:2403.10678 v2 · 2024-03-15 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXQQDURQHDR72OPOFY6BSMINBP}

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.

Cited by

1 paper in Pith

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

Receipt and verification

First computed	2026-07-05T08:35:44.348492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e101d23038e3fd39ee2e3c19310d0be54de5024dfc410608f8469875a8c0ab

Aliases

arxiv: 2403.10678 · arxiv_version: 2403.10678v2 · doi: 10.48550/arxiv.2403.10678 · pith_short_12: MXQQDURQHDR7 · pith_short_16: MXQQDURQHDR72OPO · pith_short_8: MXQQDURQ

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/MXQQDURQHDR72OPOFY6BSMINBP \
  | 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: 65e101d23038e3fd39ee2e3c19310d0be54de5024dfc410608f8469875a8c0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a895a56087a45940d24611c5e2f8cfe2ea28f8d037c6105132e2dcce5ce0b977",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-15T20:59:53Z",
    "title_canon_sha256": "53ea2359e16a05f00c33b4c3a4bcad8f5c25d155fb73ca0a1f9863b8c158de3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.10678",
    "kind": "arxiv",
    "version": 2
  }
}