Pith. sign in
Pith Number

pith:UKZWHD6E

pith:2019:UKZWHD6ERVCNL2O6FIAANAQRMK
not attested not anchored not stored refs pending

Enumeration and Extensions of Word-representants

Caleb Ji, Marisa Gaetz

arxiv:1909.00019 v2 · 2019-08-30 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UKZWHD6ERVCNL2O6FIAANAQRMK}

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 2026-07-05T02:06:47.736464Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a2b3638fc48d44d5e9de2a00068211629db780bdbe08f78f9c86d08a3a03912b

Aliases

arxiv: 1909.00019 · arxiv_version: 1909.00019v2 · doi: 10.48550/arxiv.1909.00019 · pith_short_12: UKZWHD6ERVCN · pith_short_16: UKZWHD6ERVCNL2O6 · pith_short_8: UKZWHD6E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UKZWHD6ERVCNL2O6FIAANAQRMK \
  | 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: a2b3638fc48d44d5e9de2a00068211629db780bdbe08f78f9c86d08a3a03912b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "73c771a0010380a0a59aaf7976ea9156c53f194d4b51399da89c29ce536d5c1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-30T18:14:52Z",
    "title_canon_sha256": "f693cf3eb896cb9fcdd6f04f9af8131fa55d9ce99c48e09ef2b375001a00899d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00019",
    "kind": "arxiv",
    "version": 2
  }
}