Pith Number

pith:H3US5DGH

pith:2018:H3US5DGHHPLUAKNBFOUUSEIEWB

not attested not anchored not stored refs pending

The spectrum and automorphism group of the set-inclusion graph

Jianfeng Wang, Qiongxiang Huang, Xueyi Huang

arxiv:1809.00889 v3 · 2018-09-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3US5DGHHPLUAKNBFOUUSEIEWB}

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	2026-05-17T23:46:55.177746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee92e8cc73bd74029a12ba9491104b04ff05e68e378f9b54f092bc83267703e

Aliases

arxiv: 1809.00889 · arxiv_version: 1809.00889v3 · doi: 10.48550/arxiv.1809.00889 · pith_short_12: H3US5DGHHPLU · pith_short_16: H3US5DGHHPLUAKNB · pith_short_8: H3US5DGH

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/H3US5DGHHPLUAKNBFOUUSEIEWB \
  | 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: 3ee92e8cc73bd74029a12ba9491104b04ff05e68e378f9b54f092bc83267703e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc824826bcafca337fba9a7ddbd6e852bc5fc0e923511f5773fd188e10b91dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-04T11:02:39Z",
    "title_canon_sha256": "4c445516ad6be07f78ca189c55ef10b8d8c72aca79d137d198894abc9256548d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00889",
    "kind": "arxiv",
    "version": 3
  }
}