Pith Number

pith:HCWUQAHY

pith:2026:HCWUQAHYR72HVMK4UIKJCVPCWM

not attested not anchored not stored refs pending

A simplex-based measure of symmetry

Amir Yehudayoff, Egor Bakaev

arxiv:2607.03815 v1 · 2026-07-04 · math.MG · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCWUQAHYR72HVMK4UIKJCVPCWM}

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	2026-07-07T02:18:08.868635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ad4800f88ff47ab15ca2149155e2b3013c7ca1a74b5fe8095d452d5a384fc5

Aliases

arxiv: 2607.03815 · arxiv_version: 2607.03815v1 · doi: 10.48550/arxiv.2607.03815 · pith_short_12: HCWUQAHYR72H · pith_short_16: HCWUQAHYR72HVMK4 · pith_short_8: HCWUQAHY

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/HCWUQAHYR72HVMK4UIKJCVPCWM \
  | 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: 38ad4800f88ff47ab15ca2149155e2b3013c7ca1a74b5fe8095d452d5a384fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87b69aadbd0118180e1cde8a4e47e733778a982b51f788f1fa2805c6c46c6fc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-04T10:50:29Z",
    "title_canon_sha256": "05dd1e461e536d5ade1685b81b931e03cebae3206831bda85b575fd1ff2b6135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03815",
    "kind": "arxiv",
    "version": 1
  }
}