Pith Number

pith:VJKY3WCY

pith:2017:VJKY3WCYZR4Q7Y5ZAL7O5VTP6U

not attested not anchored not stored refs pending

$k$-Foldability of Words

Beth Bjorkman, Danny Rorabaugh, Garner Cochran, Heather Smith, Jennifer Wise, Lauren Keough, Mitch Phillipson, Rachel Kirsch, Wei Gao

arxiv:1710.10616 v1 · 2017-10-29 · 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{VJKY3WCYZR4Q7Y5ZAL7O5VTP6U}

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	2026-05-17T23:45:56.885797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa558dd858cc790fe3b902feeed66ff510c9443bf0508aa8197ef69fc40719ba

Aliases

arxiv: 1710.10616 · arxiv_version: 1710.10616v1 · doi: 10.48550/arxiv.1710.10616 · pith_short_12: VJKY3WCYZR4Q · pith_short_16: VJKY3WCYZR4Q7Y5Z · pith_short_8: VJKY3WCY

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/VJKY3WCYZR4Q7Y5ZAL7O5VTP6U \
  | 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: aa558dd858cc790fe3b902feeed66ff510c9443bf0508aa8197ef69fc40719ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71516a318dd4806613e37212f452e6e51e3a073c5757acfd2c29a3f07f7b4c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-29T13:44:59Z",
    "title_canon_sha256": "33e42cea8d1273875e083bd210888d7c981b52c565342026c80513df77ed0c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10616",
    "kind": "arxiv",
    "version": 1
  }
}