Pith Number

pith:HEG2X2O5

pith:2013:HEG2X2O5KBXOFLCEK367EXKTBH

not attested not anchored not stored refs pending

Hitting Times, Cover Cost, and the Wiener Index of a Tree

Agelos Georgakopoulos, Stephan Wagner

arxiv:1302.3212 v2 · 2013-02-13 · 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{HEG2X2O5KBXOFLCEK367EXKTBH}

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	2026-05-18T01:24:30.980367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

390dabe9dd506ee2ac4456fdf25d5309e2077e75681affcdb02d97979efcf453

Aliases

arxiv: 1302.3212 · arxiv_version: 1302.3212v2 · doi: 10.48550/arxiv.1302.3212 · pith_short_12: HEG2X2O5KBXO · pith_short_16: HEG2X2O5KBXOFLCE · pith_short_8: HEG2X2O5

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/HEG2X2O5KBXOFLCEK367EXKTBH \
  | 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: 390dabe9dd506ee2ac4456fdf25d5309e2077e75681affcdb02d97979efcf453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d540dcf47e628422fccaa8c861ff51575d4f4ffbf5b29dc16197591d0c9f2b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-13T20:40:57Z",
    "title_canon_sha256": "ac9e1fa20798c35b634233f035d1df86e37be5aa2c03a06328fc9304c20e8281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3212",
    "kind": "arxiv",
    "version": 2
  }
}