Pith Number

pith:KYJBUIP2

pith:2015:KYJBUIP2VJCCROUMQP7LN7LJ7R

not attested not anchored not stored refs pending

On the extremal total reciprocal edge-eccentricity of trees

Lifang Zhao, Shuchao Li

arxiv:1508.05690 v1 · 2015-08-24 · 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{KYJBUIP2VJCCROUMQP7LN7LJ7R}

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	2026-05-18T01:34:51.892419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56121a21faaa4428ba8c83feb6fd69fc659087eecb71cecb4445c4bba75ccbcc

Aliases

arxiv: 1508.05690 · arxiv_version: 1508.05690v1 · doi: 10.48550/arxiv.1508.05690 · pith_short_12: KYJBUIP2VJCC · pith_short_16: KYJBUIP2VJCCROUM · pith_short_8: KYJBUIP2

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/KYJBUIP2VJCCROUMQP7LN7LJ7R \
  | 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: 56121a21faaa4428ba8c83feb6fd69fc659087eecb71cecb4445c4bba75ccbcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee28db26f75835b63a5609f4bab39fa10f9825e24d4c8a39f2cf836ff1403df9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-24T03:32:37Z",
    "title_canon_sha256": "6b27c23b610088250ec2f1e05132b4b13799899ffa87572bdf2a3f1786cd1706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05690",
    "kind": "arxiv",
    "version": 1
  }
}