Pith Number

pith:GKUWJDQC

pith:2015:GKUWJDQC6UTGJ5HUTAKVWSSKX6

not attested not anchored not stored refs pending

Multifractal analysis of weighted networks by a modified sandbox algorithm

Bao-Gen Li, Jin-Long Liu, Yu-Qin Song, Zu-Guo Yu

arxiv:1511.07248 v1 · 2015-11-23 · 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{GKUWJDQC6UTGJ5HUTAKVWSSKX6}

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	2026-05-18T01:20:29.082645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a9648e02f52664f4f498155b4a4abfa339a10d0f15be557ee8058b08b8dacd

Aliases

arxiv: 1511.07248 · arxiv_version: 1511.07248v1 · doi: 10.48550/arxiv.1511.07248 · pith_short_12: GKUWJDQC6UTG · pith_short_16: GKUWJDQC6UTGJ5HU · pith_short_8: GKUWJDQC

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/GKUWJDQC6UTGJ5HUTAKVWSSKX6 \
  | 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: 32a9648e02f52664f4f498155b4a4abfa339a10d0f15be557ee8058b08b8dacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb4cb7c7b83e5623ad67820088cdf10fdd875396b34f16e71a662a826a184e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-11-23T14:51:52Z",
    "title_canon_sha256": "93c1fa99f42787bff6e1da122e5df049ce429fea0457d01dc8817eeac25eeeb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07248",
    "kind": "arxiv",
    "version": 1
  }
}