Pith Number

pith:UINH5Q5T

pith:2014:UINH5Q5T2RSMTJLGSIHPKA2XIJ

not attested not anchored not stored refs pending

Characteristics polynomial of normalized Laplacian for trees

Anirban Banerjee, Ranjit Mehatari

arxiv:1406.7769 v4 · 2014-06-30 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UINH5Q5T2RSMTJLGSIHPKA2XIJ}

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	2026-05-18T01:21:41.924344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a21a7ec3b3d464c9a566920ef503574251da0e904738653b15d920292bb44ba3

Aliases

arxiv: 1406.7769 · arxiv_version: 1406.7769v4 · doi: 10.48550/arxiv.1406.7769 · pith_short_12: UINH5Q5T2RSM · pith_short_16: UINH5Q5T2RSMTJLG · pith_short_8: UINH5Q5T

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/UINH5Q5T2RSMTJLGSIHPKA2XIJ \
  | 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: a21a7ec3b3d464c9a566920ef503574251da0e904738653b15d920292bb44ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d962b2f3fa1f9d97e81b5f9a06c0ecc1c277c31e6461a28cb676ad8156a5cb",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-30T15:11:53Z",
    "title_canon_sha256": "81d5495ba3cd84fdd7a0a3b019f84701a7acf0937df37b5f08b8d07d8c60e5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7769",
    "kind": "arxiv",
    "version": 4
  }
}