Pith Number

pith:D45PHYM7

pith:2026:D45PHYM7WGU2IQS44YQUPWZPPK

not attested not anchored not stored refs pending

Recursive structures of molecules and cells in Gelfand $S_n$-graphs

Yifeng Zhang, Zhiqiang Dai

arxiv:2605.17844 v1 · 2026-05-18 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D45PHYM7WGU2IQS44YQUPWZPPK}

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	2026-05-20T00:05:01.365351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3af3e19fb1a9a4425ce62147db2f7abbd9f2f2fb6a285847fde44e45d99764

Aliases

arxiv: 2605.17844 · arxiv_version: 2605.17844v1 · doi: 10.48550/arxiv.2605.17844 · pith_short_12: D45PHYM7WGU2 · pith_short_16: D45PHYM7WGU2IQS4 · pith_short_8: D45PHYM7

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/D45PHYM7WGU2IQS44YQUPWZPPK \
  | 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: 1f3af3e19fb1a9a4425ce62147db2f7abbd9f2f2fb6a285847fde44e45d99764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ba6deb5bd2318de5b568fa6403b5b993bb24a1179ba62283a7346b048cd0b8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T04:34:40Z",
    "title_canon_sha256": "a121965862ebd5bfac902e46c28407019b608e4ceab9c52ea6671b43f4758f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17844",
    "kind": "arxiv",
    "version": 1
  }
}