Pith Number

pith:H42TVPIP

pith:2017:H42TVPIPGYADAHYKUSL3YSLJ2H

not attested not anchored not stored refs pending

Exact and asymptotic enumeration of cyclic permutations according to descent set

Justin M. Troyka, Sergi Elizalde

arxiv:1710.05103 v3 · 2017-10-13 · 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{H42TVPIPGYADAHYKUSL3YSLJ2H}

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	2026-05-17T23:40:42.004891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f353abd0f3600301f0aa497bc4969d1fddd1db2e621c38118d75e8ec29f763a

Aliases

arxiv: 1710.05103 · arxiv_version: 1710.05103v3 · doi: 10.48550/arxiv.1710.05103 · pith_short_12: H42TVPIPGYAD · pith_short_16: H42TVPIPGYADAHYK · pith_short_8: H42TVPIP

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/H42TVPIPGYADAHYKUSL3YSLJ2H \
  | 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: 3f353abd0f3600301f0aa497bc4969d1fddd1db2e621c38118d75e8ec29f763a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7a426102bacd39bf56c464cf2c5a77c0ffa99d4e433e890ffd54fcc13b7f5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-13T23:59:14Z",
    "title_canon_sha256": "0191a3381de91d1d2adcf148d80662dc261af2eae7551eab263c529ddc77c2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05103",
    "kind": "arxiv",
    "version": 3
  }
}