Pith Number

pith:3XCEJY3Z

pith:2015:3XCEJY3ZIDP3GN3YWV2PFW3MK4

not attested not anchored not stored refs pending

Word Length Perturbations in Certain Symmetric Presentations of Dihedral Groups

Candice R. Price, Jason M. Graham, Jennifer F. Vasquez, Michael P. Allocca, Shannon N. Talbott

arxiv:1512.02844 v2 · 2015-12-09 · 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{3XCEJY3ZIDP3GN3YWV2PFW3MK4}

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	2026-05-18T00:53:45.499052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc444e37940dfb33778b574f2db6c573102ce1de2ea61472fc537846e22fbce

Aliases

arxiv: 1512.02844 · arxiv_version: 1512.02844v2 · doi: 10.48550/arxiv.1512.02844 · pith_short_12: 3XCEJY3ZIDP3 · pith_short_16: 3XCEJY3ZIDP3GN3Y · pith_short_8: 3XCEJY3Z

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/3XCEJY3ZIDP3GN3YWV2PFW3MK4 \
  | 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: ddc444e37940dfb33778b574f2db6c573102ce1de2ea61472fc537846e22fbce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8e514215966d6273ebf26fc9b16151470b55f41a36d629e05963c683378028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-09T13:02:05Z",
    "title_canon_sha256": "90076904dfc849905e2b091619cd75c28a63a0361f57c13850c764ada336c651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02844",
    "kind": "arxiv",
    "version": 2
  }
}