Pith Number

pith:ILI5H4UY

pith:2014:ILI5H4UYCIWYPX2ITZC3MDUR7L

not attested not anchored not stored refs pending

The sorting index on colored permutations and even-signed permutations

Sen-Peng Eu, Tsai-Lien Wong, Yuan-Hsun Lo

arxiv:1409.8093 v2 · 2014-09-29 · 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{ILI5H4UYCIWYPX2ITZC3MDUR7L}

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	2026-05-18T02:40:55.312715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d1d3f298122d87df489e45b60e91faf956489b247cf7d34281c5c0cc38caa2

Aliases

arxiv: 1409.8093 · arxiv_version: 1409.8093v2 · doi: 10.48550/arxiv.1409.8093 · pith_short_12: ILI5H4UYCIWY · pith_short_16: ILI5H4UYCIWYPX2I · pith_short_8: ILI5H4UY

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/ILI5H4UYCIWYPX2ITZC3MDUR7L \
  | 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: 42d1d3f298122d87df489e45b60e91faf956489b247cf7d34281c5c0cc38caa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00cd4ec3e5fb1ddeaadddb3d7af49c154e3c60e675448af920e3bca3e2e85796",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-29T12:12:24Z",
    "title_canon_sha256": "e9e4d279c1b014e49fd195c5a7a56461c94f4b6d286852832d22e792d6ac12a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8093",
    "kind": "arxiv",
    "version": 2
  }
}