Pith Number

pith:WCXFXPED

pith:2016:WCXFXPEDPRQ6JA7FI6IW4K77XD

not attested not anchored not stored refs pending

A characterization of $n$-associative, monotone, idempotent functions on an interval that have neutral elements

G\'abor Somlai, Gergely Kiss

arxiv:1609.00279 v2 · 2016-09-01 · 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{WCXFXPEDPRQ6JA7FI6IW4K77XD}

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	2026-05-18T00:30:32.927834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ae5bbc837c61e483e547916e2bffb8cddc27afe7198f8dff68d603c739168a

Aliases

arxiv: 1609.00279 · arxiv_version: 1609.00279v2 · doi: 10.48550/arxiv.1609.00279 · pith_short_12: WCXFXPEDPRQ6 · pith_short_16: WCXFXPEDPRQ6JA7F · pith_short_8: WCXFXPED

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/WCXFXPEDPRQ6JA7FI6IW4K77XD \
  | 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: b0ae5bbc837c61e483e547916e2bffb8cddc27afe7198f8dff68d603c739168a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ec6a4415359386736a09b8c2a611faff3e6153bd42c887764f92d0d6fc9dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-01T15:27:21Z",
    "title_canon_sha256": "4b83ddb256ab819e3cefcb83558810afa02088eb81eed1bf8a583ddbb89d14ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00279",
    "kind": "arxiv",
    "version": 2
  }
}