Pith Number

pith:GPPGZVQD

pith:2026:GPPGZVQDC3EMOSDHQEEFA4JUEE

not attested not anchored not stored refs pending

Edge-Number Bounds for the Inversion Diameter of Graphs

Anqi Li, Jiawen Bo, Xiaopan Lian, Xin Yan

arxiv:2606.17974 v1 · 2026-06-16 · 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{GPPGZVQDC3EMOSDHQEEFA4JUEE}

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	2026-06-19T16:10:44.926940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33de6cd60316c8c7486781085071342118fe8a815b4c69c006e3a2ab8a96896c

Aliases

arxiv: 2606.17974 · arxiv_version: 2606.17974v1 · doi: 10.48550/arxiv.2606.17974 · pith_short_12: GPPGZVQDC3EM · pith_short_16: GPPGZVQDC3EMOSDH · pith_short_8: GPPGZVQD

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/GPPGZVQDC3EMOSDHQEEFA4JUEE \
  | 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: 33de6cd60316c8c7486781085071342118fe8a815b4c69c006e3a2ab8a96896c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f94db5cf6353b6a0c45ce6bb1b74015633ccc5f970fc5f7bd26a44469d1471d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T14:28:59Z",
    "title_canon_sha256": "20b64c80d29526f43b89b2a8bcddf150a271e3b49fcad4272aafb61444508e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17974",
    "kind": "arxiv",
    "version": 1
  }
}