Pith Number

pith:N352NY5E

pith:2011:N352NY5E4E264E7NEFDKWRR5UI

not attested not anchored not stored refs pending

An Estimation of the Shortest and Largest Average Path Length in Graphs of Given Density

G\'abor Horv\'ath, George Kampis, L\'aszl\'o Guly\'as, Tam\'as Cs\'eri

arxiv:1101.2549 v1 · 2011-01-13 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N352NY5E4E264E7NEFDKWRR5UI}

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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	2026-05-18T02:22:57.931275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6efba6e3a4e135ee13ed2146ab463da209b811e27d2f06b8320f3ad4c73a5d1b

Aliases

arxiv: 1101.2549 · arxiv_version: 1101.2549v1 · doi: 10.48550/arxiv.1101.2549 · pith_short_12: N352NY5E4E26 · pith_short_16: N352NY5E4E264E7N · pith_short_8: N352NY5E

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/N352NY5E4E264E7NEFDKWRR5UI \
  | 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: 6efba6e3a4e135ee13ed2146ab463da209b811e27d2f06b8320f3ad4c73a5d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ccc133eefdfccf32641d120c5d18fa623ec2c8f94d23402a5f92b8c90f6ce6",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-01-13T12:49:51Z",
    "title_canon_sha256": "5af4d5e1da3f12d623e804469aff9655d0702f0d59435003b21a20c158f97e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2549",
    "kind": "arxiv",
    "version": 1
  }
}