Pith Number

pith:ITOWITSB

pith:2016:ITOWITSBIRMASKALTEJCFG4EDN

not attested not anchored not stored refs pending

The Griffiths Phase on Hierarchical Modular Networks with Small-world Edges

Shanshan Li

arxiv:1608.07231 v2 · 2016-08-25 · cond-mat.dis-nn · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITOWITSBIRMASKALTEJCFG4EDN}

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	2026-05-18T00:48:44.268656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44dd644e41445809280b9912229b841b4a762a96572ed5b5a5b52938b255ca97

Aliases

arxiv: 1608.07231 · arxiv_version: 1608.07231v2 · doi: 10.48550/arxiv.1608.07231 · pith_short_12: ITOWITSBIRMA · pith_short_16: ITOWITSBIRMASKAL · pith_short_8: ITOWITSB

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/ITOWITSBIRMASKALTEJCFG4EDN \
  | 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: 44dd644e41445809280b9912229b841b4a762a96572ed5b5a5b52938b255ca97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f12c9f39ddceadbd70b05cf141c3f8eef411dd37353b8cb46ab923e4ddf375",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-08-25T18:00:44Z",
    "title_canon_sha256": "3be1dcc431c7cbf8c5cb6fa9eb46f5e2f1c8d4c242c7ce35cbd834a49b61a8aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07231",
    "kind": "arxiv",
    "version": 2
  }
}