Pith Number

pith:75UWINRR

pith:2026:75UWINRRMJD3S57TYXKG54PFHA

not attested not anchored not stored refs pending

Fixed-density profiles for the semi-induced 4-vertex star

Jianfeng Hou, Jinghua Deng

arxiv:2606.23351 v1 · 2026-06-22 · 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{75UWINRRMJD3S57TYXKG54PFHA}

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	2026-06-23T03:14:17.546250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff696436316247b977f3c5d46ef1e538113f2e6884f3e3998e31ef178da438e0

Aliases

arxiv: 2606.23351 · arxiv_version: 2606.23351v1 · doi: 10.48550/arxiv.2606.23351 · pith_short_12: 75UWINRRMJD3 · pith_short_16: 75UWINRRMJD3S57T · pith_short_8: 75UWINRR

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/75UWINRRMJD3S57TYXKG54PFHA \
  | 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: ff696436316247b977f3c5d46ef1e538113f2e6884f3e3998e31ef178da438e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "087ea42a082a8001f9628b519799dff853c6a3bbbb19c2d5ba009bc1f88e3b83",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T13:54:11Z",
    "title_canon_sha256": "a54619862f7f6e4fd88e0c8fb1f84b8a58ed2dfd1614b4e27ecd397c72bfb1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23351",
    "kind": "arxiv",
    "version": 1
  }
}