Pith Number

pith:XVRXGFCG

pith:2017:XVRXGFCG4PAGEMAAVNNU7RKS6B

not attested not anchored not stored refs pending

Permutations sorted by a finite and an infinite stack in series

Murray Elder, Yoong Kuan Goh

arxiv:1711.06040 v2 · 2017-11-16 · 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{XVRXGFCG4PAGEMAAVNNU7RKS6B}

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	2026-05-18T00:26:53.567788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd63731446e3c0623000ab5b4fc552f07a4b88fe922be350def399850da13295

Aliases

arxiv: 1711.06040 · arxiv_version: 1711.06040v2 · doi: 10.48550/arxiv.1711.06040 · pith_short_12: XVRXGFCG4PAG · pith_short_16: XVRXGFCG4PAGEMAA · pith_short_8: XVRXGFCG

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/XVRXGFCG4PAGEMAAVNNU7RKS6B \
  | 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: bd63731446e3c0623000ab5b4fc552f07a4b88fe922be350def399850da13295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94399e0722251658b24b23d2ce57b5220b206dee75f0740de6453b678147aad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-16T11:39:14Z",
    "title_canon_sha256": "616a1d92e4b6a8e5f5076307a9dc11a50033b3b58e0a12889c7c35986dfe9480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06040",
    "kind": "arxiv",
    "version": 2
  }
}