Pith Number

pith:PZNUAJBH

pith:2010:PZNUAJBHM5IDQY4S4N5R4XXXOF

not attested not anchored not stored refs pending

Distance-balanced closure of some graphs

B. Manouchehrian, M. Mohammad-Noori, N. Ghareghani

arxiv:1012.3942 v1 · 2010-12-17 · 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{PZNUAJBHM5IDQY4S4N5R4XXXOF}

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	2026-05-18T04:33:03.570966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5b4024276750386392e37b1e5ef7714d987b7d1377bb36c9c9eb34f2daf522

Aliases

arxiv: 1012.3942 · arxiv_version: 1012.3942v1 · doi: 10.48550/arxiv.1012.3942 · pith_short_12: PZNUAJBHM5ID · pith_short_16: PZNUAJBHM5IDQY4S · pith_short_8: PZNUAJBH

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/PZNUAJBHM5IDQY4S4N5R4XXXOF \
  | 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: 7e5b4024276750386392e37b1e5ef7714d987b7d1377bb36c9c9eb34f2daf522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e66392ffa717eb3937441cd21bbfd457879d05d5a4440f6f2620f0462841f2f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-17T17:57:20Z",
    "title_canon_sha256": "396556389ac20b36cd21e939123dac6bdfb7a8e3460a63b14d7fc0be7035d84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3942",
    "kind": "arxiv",
    "version": 1
  }
}