Pith Number

pith:V5GJQ2KJ

pith:2011:V5GJQ2KJ5Q26X6LP4W2ZODVDVC

not attested not anchored not stored refs pending

On the maximal energy tree with two maximum degree vertices

Jing Li, Xueliang Li, Yongtang Shi

arxiv:1103.3842 v2 · 2011-03-20 · 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{V5GJQ2KJ5Q26X6LP4W2ZODVDVC}

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	2026-05-18T04:25:37.538104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4c986949ec35ebf96fe5b5970ea3a897a1397fa3f00a481e171f90c9efd195

Aliases

arxiv: 1103.3842 · arxiv_version: 1103.3842v2 · doi: 10.48550/arxiv.1103.3842 · pith_short_12: V5GJQ2KJ5Q26 · pith_short_16: V5GJQ2KJ5Q26X6LP · pith_short_8: V5GJQ2KJ

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/V5GJQ2KJ5Q26X6LP4W2ZODVDVC \
  | 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: af4c986949ec35ebf96fe5b5970ea3a897a1397fa3f00a481e171f90c9efd195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3fbfedbce00c8f73d35ffeb1400eaee1689a97aa39c65c6b4d413e4aac79dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-20T10:33:57Z",
    "title_canon_sha256": "b9d191be03ff3ea23c8a4151d1ad37b4a6aadd03d989297ef8be13115c090673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3842",
    "kind": "arxiv",
    "version": 2
  }
}