Pith Number

pith:OZ53TI33

pith:2026:OZ53TI33ZP2D627WYADSPNG535

not attested not anchored not stored refs pending

The iterated geometric Green's formula

Chao Shen, Jie Xiao

arxiv:2606.17928 v1 · 2026-06-16 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZ53TI33ZP2D627WYADSPNG535}

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	2026-06-19T16:10:43.753688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767bb9a37bcbf43f6bf6c00727b4dddf7702de29a1e59eb0598a71b1dbc474e6

Aliases

arxiv: 2606.17928 · arxiv_version: 2606.17928v1 · doi: 10.48550/arxiv.2606.17928 · pith_short_12: OZ53TI33ZP2D · pith_short_16: OZ53TI33ZP2D627W · pith_short_8: OZ53TI33

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/OZ53TI33ZP2D627WYADSPNG535 \
  | 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: 767bb9a37bcbf43f6bf6c00727b4dddf7702de29a1e59eb0598a71b1dbc474e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ecd78d2249811f88c091a999cf50c6c9e77c34cf8973473ff527fe10e6a176",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-16T13:39:16Z",
    "title_canon_sha256": "5f496d83346793b54fe1f4e2bf71fe473a99c6e250898a1d2e47a7e9adf0d69b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17928",
    "kind": "arxiv",
    "version": 1
  }
}