Pith Number

pith:AYSQ73NA

pith:2026:AYSQ73NANUOOB4XX6CHKPSO4UC

not attested not anchored not stored refs pending

N-ary quasi-arithmetic means and families without regularity

Ekaterina Shulman, Gergely Kiss

arxiv:2606.05221 v1 · 2026-05-29 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYSQ73NANUOOB4XX6CHKPSO4UC}

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	2026-06-05T00:13:49.178548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06250feda06d1ce0f2f7f08ea7c9dca0a95acee270d82476593bee4d104688d4

Aliases

arxiv: 2606.05221 · arxiv_version: 2606.05221v1 · doi: 10.48550/arxiv.2606.05221 · pith_short_12: AYSQ73NANUOO · pith_short_16: AYSQ73NANUOOB4XX · pith_short_8: AYSQ73NA

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/AYSQ73NANUOOB4XX6CHKPSO4UC \
  | 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: 06250feda06d1ce0f2f7f08ea7c9dca0a95acee270d82476593bee4d104688d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a663baf4b608b77eb1a82dba1d43b3a5e2237bdd8592314443f9f8adb82851f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-05-29T20:57:05Z",
    "title_canon_sha256": "25f3498fee6fde84be5b8c4eb59df8f2a953ebe1199ebd318b80867e783d0272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05221",
    "kind": "arxiv",
    "version": 1
  }
}