Pith Number

pith:RTTLAZQG

pith:2026:RTTLAZQGED2YPKFJQVQXPEJ66P

not attested not anchored not stored refs pending

Characterization of the structure of $k$-edge-maximal graphs

Hong-Jian Lai, Jian Lu, Zheng-Jiang Xia, Zhen-Mu Hong

arxiv:2606.00719 v1 · 2026-05-30 · 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{RTTLAZQGED2YPKFJQVQXPEJ66P}

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	2026-06-02T01:04:03.696936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ce6b0660620f587a8a9856177913ef3f9d550fa8fd0936404ab7ee8d760b86e

Aliases

arxiv: 2606.00719 · arxiv_version: 2606.00719v1 · doi: 10.48550/arxiv.2606.00719 · pith_short_12: RTTLAZQGED2Y · pith_short_16: RTTLAZQGED2YPKFJ · pith_short_8: RTTLAZQG

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/RTTLAZQGED2YPKFJQVQXPEJ66P \
  | 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: 8ce6b0660620f587a8a9856177913ef3f9d550fa8fd0936404ab7ee8d760b86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fb993b74e09f1f74fa7f1ca74c529e1c0600b92aabcb13597f2b67e6177f096",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-30T13:05:05Z",
    "title_canon_sha256": "2ed3761f90cc3437fc82e2aee4bedc8add5fe3cb1088eb04167a92b7ca7ed9b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00719",
    "kind": "arxiv",
    "version": 1
  }
}