Pith Number

pith:PFPHAPKG

pith:2025:PFPHAPKGOF67CTTVWOSUFL5JAH

not attested not anchored not stored refs pending

The characteristic polynomial of sunflowers

Changjiang Bu, Ge Lin, Lixiang Chen

arxiv:2506.17628 v1 · 2025-06-21 · 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{PFPHAPKGOF67CTTVWOSUFL5JAH}

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	2026-07-05T11:25:20.696860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

795e703d46717df14e75b3a542afa901e30ec41d4cb23938e6d8505471d91d96

Aliases

arxiv: 2506.17628 · arxiv_version: 2506.17628v1 · doi: 10.48550/arxiv.2506.17628 · pith_short_12: PFPHAPKGOF67 · pith_short_16: PFPHAPKGOF67CTTV · pith_short_8: PFPHAPKG

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/PFPHAPKGOF67CTTVWOSUFL5JAH \
  | 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: 795e703d46717df14e75b3a542afa901e30ec41d4cb23938e6d8505471d91d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43eaabd5505e9ef5dbc887063b655051bbf0cbbc798388b661898bd19174334",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-21T08:10:54Z",
    "title_canon_sha256": "e83ce2cf3d31990626a4d8b7184529f2ec6540904f586cc0f6d373cfae91eeb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17628",
    "kind": "arxiv",
    "version": 1
  }
}