Pith Number

pith:OPSL2CR6

pith:2014:OPSL2CR6N3B64GQS2EBKKFQH2S

not attested not anchored not stored refs pending

A simple proof of a theorem of Schmerl and Trotter for permutations

Robert Brignall, Vincent Vatter

arxiv:1409.4725 v1 · 2014-09-16 · 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{OPSL2CR6N3B64GQS2EBKKFQH2S}

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	2026-05-18T02:42:44.993537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e4bd0a3e6ec3ee1a12d102a51607d481787bc7db80d763ca6bd01ff3c9790d

Aliases

arxiv: 1409.4725 · arxiv_version: 1409.4725v1 · doi: 10.48550/arxiv.1409.4725 · pith_short_12: OPSL2CR6N3B6 · pith_short_16: OPSL2CR6N3B64GQS · pith_short_8: OPSL2CR6

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/OPSL2CR6N3B64GQS2EBKKFQH2S \
  | 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: 73e4bd0a3e6ec3ee1a12d102a51607d481787bc7db80d763ca6bd01ff3c9790d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2689224291c7785778f11e383ddd638b499f39fbfae2ac5c2942997867c6bb93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-16T18:37:26Z",
    "title_canon_sha256": "ce2d62b1cb7a1eb5db965b2d390c84324656dcccbb08ab6c8315df1b54c68264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4725",
    "kind": "arxiv",
    "version": 1
  }
}