Pith Number

pith:MNENXHRB

pith:2015:MNENXHRBRSB65SLDFE25STXMGU

not attested not anchored not stored refs pending

An improved bound on the diamond-free poset problem

Lucas Kramer, Ryan R. Martin

arxiv:1503.00631 v2 · 2015-03-02 · 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{MNENXHRBRSB65SLDFE25STXMGU}

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	2026-05-18T02:24:28.136056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6348db9e218c83eec9632935d94eec353e1745cb8d455ddfbe92a1893cc6aca7

Aliases

arxiv: 1503.00631 · arxiv_version: 1503.00631v2 · doi: 10.48550/arxiv.1503.00631 · pith_short_12: MNENXHRBRSB6 · pith_short_16: MNENXHRBRSB65SLD · pith_short_8: MNENXHRB

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/MNENXHRBRSB65SLDFE25STXMGU \
  | 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: 6348db9e218c83eec9632935d94eec353e1745cb8d455ddfbe92a1893cc6aca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877cee418811e38c26d0822f4a9965b94b6ea3d39e889ce69e7bdba84f20c43a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-02T17:37:58Z",
    "title_canon_sha256": "e1bc853fb2ff0f325b78a58967b265befb39b58460ff01014a5c417d4f6e9a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00631",
    "kind": "arxiv",
    "version": 2
  }
}