Pith Number

pith:KNFLN5L5

pith:2026:KNFLN5L5XBZS67DFRZUQSRJA6V

not attested not anchored not stored refs pending

Polynomial maps on the monoid of words

J. M. Almira

arxiv:2606.05077 v1 · 2026-06-03 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNFLN5L5XBZS67DFRZUQSRJA6V}

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	2026-06-04T01:10:05.225884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534ab6f57db8732f7c658e69094520f54db33849b4f4b0247f1426849280b99c

Aliases

arxiv: 2606.05077 · arxiv_version: 2606.05077v1 · doi: 10.48550/arxiv.2606.05077 · pith_short_12: KNFLN5L5XBZS · pith_short_16: KNFLN5L5XBZS67DF · pith_short_8: KNFLN5L5

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/KNFLN5L5XBZS67DFRZUQSRJA6V \
  | 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: 534ab6f57db8732f7c658e69094520f54db33849b4f4b0247f1426849280b99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d68581c853bfa96fb396ef5e2c29a6009c4bbb1aa9599a73375ea4a64258d97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-03T16:35:15Z",
    "title_canon_sha256": "18d82f349511776900c1f87fb1f1474871a56256a9c9897c1897730315f7af80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05077",
    "kind": "arxiv",
    "version": 1
  }
}