Pith Number

pith:UNGIBCDO

pith:2022:UNGIBCDOCOR622OGR7WERZ7ZL2

not attested not anchored not stored refs pending

Schur properties of randomly perturbed sets

Charlotte Knierim, Patrick Morris, Shagnik Das

arxiv:2205.01456 v2 · 2022-05-03 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNGIBCDOCOR622OGR7WERZ7ZL2}

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	2026-06-23T03:13:42.186665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a34c80886e13a3ed69c68fec48e7f95e82c6ce210ee73db27b22f2acebe98bee

Aliases

arxiv: 2205.01456 · arxiv_version: 2205.01456v2 · doi: 10.48550/arxiv.2205.01456 · pith_short_12: UNGIBCDOCOR6 · pith_short_16: UNGIBCDOCOR622OG · pith_short_8: UNGIBCDO

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/UNGIBCDOCOR622OGR7WERZ7ZL2 \
  | 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: a34c80886e13a3ed69c68fec48e7f95e82c6ce210ee73db27b22f2acebe98bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125f31925738cd291cbea498c318107f73b658a2d626a13616c9a2fdeeb31e1e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-03T12:34:58Z",
    "title_canon_sha256": "ee1c71b323fe34267013a23099ab587754e5ffa51c0eba7b84a41f2af3f4ccae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.01456",
    "kind": "arxiv",
    "version": 2
  }
}