Pith Number

pith:NMXPYNFV

pith:2019:NMXPYNFVGQDDBDGHJP2NGSB7VX

not attested not anchored not stored refs pending

Counting pop-stacked permutations in polynomial time

Anders Claesson, Bjarki \'Ag\'ust Gu{\dh}mundsson, Jay Pantone

arxiv:1908.08910 v1 · 2019-08-23 · 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{NMXPYNFVGQDDBDGHJP2NGSB7VX}

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	2026-07-04T23:59:25.142058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2efc34b53406308cc74bf4d3483fadf83b377cb7e09ee4d043a496470ec959

Aliases

arxiv: 1908.08910 · arxiv_version: 1908.08910v1 · doi: 10.48550/arxiv.1908.08910 · pith_short_12: NMXPYNFVGQDD · pith_short_16: NMXPYNFVGQDDBDGH · pith_short_8: NMXPYNFV

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/NMXPYNFVGQDDBDGHJP2NGSB7VX \
  | 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: 6b2efc34b53406308cc74bf4d3483fadf83b377cb7e09ee4d043a496470ec959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3758f3bf74d8d8a52d767be8f5f372d7f2a371dab64ad344319f06d462cf285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-23T17:34:12Z",
    "title_canon_sha256": "1e3dd7976890fac46e3a786573ae84bca7d15a1d7a941adfd359db6d1dfb5b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08910",
    "kind": "arxiv",
    "version": 1
  }
}