Pith Number

pith:OW4LJOF5

pith:2017:OW4LJOF5I4LVMSJQ5XMFV4EHSL

not attested not anchored not stored refs pending

Symmetric Chain Decompositions of Products of Posets with Long Chains

Hunter Spink, Marius Tiba, Stefan David

arxiv:1706.08546 v2 · 2017-06-26 · 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{OW4LJOF5I4LVMSJQ5XMFV4EHSL}

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	2026-05-17T23:50:38.909152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b8b4b8bd4717564930edd85af08792e5aef5229ba197ed2ce265aa895eef68

Aliases

arxiv: 1706.08546 · arxiv_version: 1706.08546v2 · doi: 10.48550/arxiv.1706.08546 · pith_short_12: OW4LJOF5I4LV · pith_short_16: OW4LJOF5I4LVMSJQ · pith_short_8: OW4LJOF5

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/OW4LJOF5I4LVMSJQ5XMFV4EHSL \
  | 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: 75b8b4b8bd4717564930edd85af08792e5aef5229ba197ed2ce265aa895eef68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a57e1b216e22fd02a13bf5740b8e4aded376bff7ca66bc9e188462e014b91cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-26T18:02:19Z",
    "title_canon_sha256": "b384513b33fa547409382e9556482d0c2e9bb86328b7283b8672d91d0f1f5107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08546",
    "kind": "arxiv",
    "version": 2
  }
}