Pith Number

pith:DLRK3N7Y

pith:2016:DLRK3N7Y5D4CN2E3XMPNDOSVRR

not attested not anchored not stored refs pending

Ordering connected graphs by their Kirchhoff indices

Kexiang Xu, Kinkar Ch. Das, Xiao-Dong Zhang

arxiv:1602.07039 v1 · 2016-02-21 · 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{DLRK3N7Y5D4CN2E3XMPNDOSVRR}

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	2026-05-18T01:20:07.369285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae2adb7f8e8f826e89bbb1ed1ba558c44a5dff8df80b62eaab89b94f6dc0e3e

Aliases

arxiv: 1602.07039 · arxiv_version: 1602.07039v1 · doi: 10.48550/arxiv.1602.07039 · pith_short_12: DLRK3N7Y5D4C · pith_short_16: DLRK3N7Y5D4CN2E3 · pith_short_8: DLRK3N7Y

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/DLRK3N7Y5D4CN2E3XMPNDOSVRR \
  | 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: 1ae2adb7f8e8f826e89bbb1ed1ba558c44a5dff8df80b62eaab89b94f6dc0e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94686bc0bc24475d8cadb8d1b68bf9837bce0251fb3b4e20aed00a024f2f03a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-21T03:43:52Z",
    "title_canon_sha256": "f7f687331370753da197dc78f06990dcc0fa8fb6d5d214de56ec26456e2bc0ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07039",
    "kind": "arxiv",
    "version": 1
  }
}