Pith Number

pith:X36GR2NB

pith:2025:X36GR2NBTV35RIVDCK5OVYR6XM

not attested not anchored not stored refs pending

A symmetric function approach to log-concavity of independence polynomials

Arthur L.B. Yang, Ethan Y.H. Li, Grace M.X. Li, Zhong-Xue Zhang

arxiv:2501.04245 v1 · 2025-01-08 · 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{X36GR2NBTV35RIVDCK5OVYR6XM}

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	2026-07-05T09:58:32.167341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

befc68e9a19d77d8a2a312baeae23ebb26e9377a4876ae10c520898c1dbfa357

Aliases

arxiv: 2501.04245 · arxiv_version: 2501.04245v1 · doi: 10.48550/arxiv.2501.04245 · pith_short_12: X36GR2NBTV35 · pith_short_16: X36GR2NBTV35RIVD · pith_short_8: X36GR2NB

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/X36GR2NBTV35RIVDCK5OVYR6XM \
  | 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: befc68e9a19d77d8a2a312baeae23ebb26e9377a4876ae10c520898c1dbfa357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e89bcb2904f0b62219f29fee2455e2f8566f4fda83582e31b58bf862547bc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-08T03:09:51Z",
    "title_canon_sha256": "c2d1b9ebd4a4f81e970f72a22497c4cf4b3b2a66ae8554b61f96f878294be34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04245",
    "kind": "arxiv",
    "version": 1
  }
}