Pith Number

pith:NTKJOYZJ

pith:2015:NTKJOYZJQ5P3FVODZD4FL6TNOE

not attested not anchored not stored refs pending

New examples of period collapse

Dan Cristofaro-Gardiner, Richard Stanley, Teresa Xueshan Li

arxiv:1509.01887 v1 · 2015-09-07 · math.CO · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTKJOYZJQ5P3FVODZD4FL6TNOE}

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	2026-05-18T01:33:50.248631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd4976329875fb2d5c3c8f855fa6d712eba69e4dc73be3f30cc4bba2df9bace

Aliases

arxiv: 1509.01887 · arxiv_version: 1509.01887v1 · doi: 10.48550/arxiv.1509.01887 · pith_short_12: NTKJOYZJQ5P3 · pith_short_16: NTKJOYZJQ5P3FVOD · pith_short_8: NTKJOYZJ

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/NTKJOYZJQ5P3FVODZD4FL6TNOE \
  | 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: 6cd4976329875fb2d5c3c8f855fa6d712eba69e4dc73be3f30cc4bba2df9bace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decd9518ea53a8b84895e953826fac3ef49bff0cedf0dbe73011adaba6fc17f7",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-07T02:57:31Z",
    "title_canon_sha256": "cc8c0fb6640e9f733e1c17ac46cf210eeb429ce9cd6ac3e400917758d5c1aaae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01887",
    "kind": "arxiv",
    "version": 1
  }
}