Pith Number

pith:5YFCSOHC

pith:2011:5YFCSOHCLRN5LQGG6ZAYW7PX63

not attested not anchored not stored refs pending

The Reversal Ratio of a Poset

Graham Brightwell, Mitchel T. Keller

arxiv:1107.2846 v3 · 2011-07-14 · 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{5YFCSOHCLRN5LQGG6ZAYW7PX63}

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	2026-05-18T01:37:21.982724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0a2938e25c5bd5c0c6f6418b7df7f6c0758c3893832c6bfd350e9b7d1e31d0

Aliases

arxiv: 1107.2846 · arxiv_version: 1107.2846v3 · doi: 10.48550/arxiv.1107.2846 · pith_short_12: 5YFCSOHCLRN5 · pith_short_16: 5YFCSOHCLRN5LQGG · pith_short_8: 5YFCSOHC

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/5YFCSOHCLRN5LQGG6ZAYW7PX63 \
  | 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: ee0a2938e25c5bd5c0c6f6418b7df7f6c0758c3893832c6bfd350e9b7d1e31d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4f88caba5233ecc0941b9cb00b987673f10f541778acd33bdd690c5f9bfe19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-14T15:12:21Z",
    "title_canon_sha256": "53e0942f60001b8ba956b22484f1573d8529ace7ade9a6a1622c10aebc471e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2846",
    "kind": "arxiv",
    "version": 3
  }
}