Pith Number

pith:NLOX664X

pith:2017:NLOX664X6HCJFV26IQL6IL2DES

not attested not anchored not stored refs pending

Fault Tolerance of Random Graphs with respect to Connectivity: Mean-field Approximation for Semi-dense Random Graphs

Satoshi Takabe, Tadashi Wadayama, Takafumi Nakano

arxiv:1712.07807 v2 · 2017-12-21 · cond-mat.dis-nn · cond-mat.stat-mech · cs.IT · cs.SI · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLOX664X6HCJFV26IQL6IL2DES}

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	2026-05-17T23:44:15.610820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6add7f7b97f1c492d75e4417e42f432490fdca7b5924af99617e8771007e4b20

Aliases

arxiv: 1712.07807 · arxiv_version: 1712.07807v2 · doi: 10.48550/arxiv.1712.07807 · pith_short_12: NLOX664X6HCJ · pith_short_16: NLOX664X6HCJFV26 · pith_short_8: NLOX664X

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/NLOX664X6HCJFV26IQL6IL2DES \
  | 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: 6add7f7b97f1c492d75e4417e42f432490fdca7b5924af99617e8771007e4b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb7fb3ee05ec5d8cc2075ebc8814f6765a403cd99bdfb974aa79b53703cd731",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "cs.SI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2017-12-21T06:28:20Z",
    "title_canon_sha256": "e839b9a8b06ed957461b9a69c0d44feb3a47b83d96352f5036830a2ff528de05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07807",
    "kind": "arxiv",
    "version": 2
  }
}