Pith Number

pith:ETPBS6T4

pith:2013:ETPBS6T4JBZ4A7TDJOXZISQKBN

not attested not anchored not stored refs pending

The Wiener and Terminal Wiener indices of trees

Xiao-Dong Zhang, Ya-Hong Chen

arxiv:1305.6196 v1 · 2013-05-27 · 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{ETPBS6T4JBZ4A7TDJOXZISQKBN}

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	2026-05-18T03:24:51.966264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24de197a7c4873c07e634baf944a0a0b5267dc7b4ea877db97904331baf36277

Aliases

arxiv: 1305.6196 · arxiv_version: 1305.6196v1 · doi: 10.48550/arxiv.1305.6196 · pith_short_12: ETPBS6T4JBZ4 · pith_short_16: ETPBS6T4JBZ4A7TD · pith_short_8: ETPBS6T4

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/ETPBS6T4JBZ4A7TDJOXZISQKBN \
  | 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: 24de197a7c4873c07e634baf944a0a0b5267dc7b4ea877db97904331baf36277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf87ffdca78a4124a139d6b6b4bd95c8cb695e11183238af96f07dcad7ce53b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-27T12:34:09Z",
    "title_canon_sha256": "fea4048a7df9b44d1d171adcfb1485bb3d7576985aee2cb7c1c876b33838508e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6196",
    "kind": "arxiv",
    "version": 1
  }
}