Pith Number

pith:NDGYIJM5

pith:2018:NDGYIJM567BWUBAFGD6NG6EWOS

not attested not anchored not stored refs pending

On (shape-)Wilf-equivalence for words

Austrian Academy of Sciences, Changsha), Christian Krattenthaler (Universit\"at Wien), Linz), Ting Guo (Hunan Normal University, Yi Zhang (RICAM

arxiv:1802.09856 v2 · 2018-02-27 · 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{NDGYIJM567BWUBAFGD6NG6EWOS}

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	2026-05-18T00:13:10.390296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68cd84259df7c36a040530fcd378967499cc39f49ef64a1aa605480475bd0260

Aliases

arxiv: 1802.09856 · arxiv_version: 1802.09856v2 · doi: 10.48550/arxiv.1802.09856 · pith_short_12: NDGYIJM567BW · pith_short_16: NDGYIJM567BWUBAF · pith_short_8: NDGYIJM5

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/NDGYIJM567BWUBAFGD6NG6EWOS \
  | 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: 68cd84259df7c36a040530fcd378967499cc39f49ef64a1aa605480475bd0260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf4dc2c7de9a686dbf58ae4bd35bdb7ebe4a04e5b157ab9f6e4ae8cd3c19993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-27T12:40:16Z",
    "title_canon_sha256": "f667addd712e5528ab40ec00492edd7ffab7526329f162ac1856a8721d89b34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09856",
    "kind": "arxiv",
    "version": 2
  }
}