Pith Number

pith:HUJPMYDZ

pith:2019:HUJPMYDZXLHIBUT7T5T65SCQLB

not attested not anchored not stored refs pending

k-Spectra of weakly-c-Balanced Words

Dirk Nowotka, Florin Manea, Joel D. Day, Pamela Fleischmann

arxiv:1904.09125 v2 · 2019-04-19 · cs.FL · 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{HUJPMYDZXLHIBUT7T5T65SCQLB}

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	2026-05-17T23:45:14.642688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d12f66079bace80d27f9f67eec8505870441f7d2fb4cb1dba4e780718315477

Aliases

arxiv: 1904.09125 · arxiv_version: 1904.09125v2 · doi: 10.48550/arxiv.1904.09125 · pith_short_12: HUJPMYDZXLHI · pith_short_16: HUJPMYDZXLHIBUT7 · pith_short_8: HUJPMYDZ

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/HUJPMYDZXLHIBUT7T5T65SCQLB \
  | 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: 3d12f66079bace80d27f9f67eec8505870441f7d2fb4cb1dba4e780718315477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0ff6b04c833cca25a6af671d4002f42fb3b89972df089c3ee31f1f86b57629",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2019-04-19T09:09:49Z",
    "title_canon_sha256": "d9404a5bc23a725be199ea020bd7b9f1da02b92b65b0db223274b0bbd4fc3c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09125",
    "kind": "arxiv",
    "version": 2
  }
}