Pith Number

pith:TKPIUSHD

pith:2024:TKPIUSHDT2MCNR2VOQ7JAWHGJD

not attested not anchored not stored refs pending

On the Positive and Negative $p$-Energies of Graphs under Edge Addition

Quanyu Tang, Wei Wang, Yinchen Liu

arxiv:2410.09830 v4 · 2024-10-13 · 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{TKPIUSHDT2MCNR2VOQ7JAWHGJD}

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.

Cited by

1 paper in Pith

Positive and negative 3-energies of graphs

Receipt and verification

First computed	2026-07-05T10:45:56.302272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9e8a48e39e9826c755743e9058e648df6b0e69c329edd8dfc7cd29d46c2e32

Aliases

arxiv: 2410.09830 · arxiv_version: 2410.09830v4 · doi: 10.48550/arxiv.2410.09830 · pith_short_12: TKPIUSHDT2MC · pith_short_16: TKPIUSHDT2MCNR2V · pith_short_8: TKPIUSHD

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/TKPIUSHDT2MCNR2VOQ7JAWHGJD \
  | 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: 9a9e8a48e39e9826c755743e9058e648df6b0e69c329edd8dfc7cd29d46c2e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75e69ecbff208434c874fd9a55991fb038f04bf3806c09c46f56aee8bc0b9d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-13T13:10:20Z",
    "title_canon_sha256": "36f1ffa087c76bae52c6d0c7369ed5b9574d67748708fdd2f9e3925358eda156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09830",
    "kind": "arxiv",
    "version": 4
  }
}