Pith Number

pith:LGGH465U

pith:2013:LGGH465UUTRRJMCGG6QJFBNRLP

not attested not anchored not stored refs pending

Total occurrence statistics on restricted permutations

Alexander Burstein, Sergi Elizalde

arxiv:1305.3177 v1 · 2013-05-14 · 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{LGGH465UUTRRJMCGG6QJFBNRLP}

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	2026-05-18T03:25:44.587015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

598c7e7bb4a4e314b04637a09285b15beacb58b8a38f2c05b84af53a9b980042

Aliases

arxiv: 1305.3177 · arxiv_version: 1305.3177v1 · doi: 10.48550/arxiv.1305.3177 · pith_short_12: LGGH465UUTRR · pith_short_16: LGGH465UUTRRJMCG · pith_short_8: LGGH465U

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/LGGH465UUTRRJMCGG6QJFBNRLP \
  | 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: 598c7e7bb4a4e314b04637a09285b15beacb58b8a38f2c05b84af53a9b980042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e0d574e7af28fc59029a76f6ec7f0f91457fdd974aac85ef1a9dd24ff2473d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-14T15:17:35Z",
    "title_canon_sha256": "d97ebb8db7126a37f114329f063deeaef6244e5bf9cffd8892f929731751df18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3177",
    "kind": "arxiv",
    "version": 1
  }
}