pith. sign in
Pith Number

pith:E7SANHKX

pith:2016:E7SANHKXBJXRNPXDPGOE6AXGJ7
not attested not anchored not stored refs pending

Percolation of networks with directed dependency links

Dunbiao Niu, H. Eugene Stanley, Minhui Du, Xin Yuan, Yanqing Hu

arxiv:1603.03275 v1 · 2016-03-10 · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E7SANHKXBJXRNPXDPGOE6AXGJ7}

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 2026-05-18T01:15:49.219474Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

27e4069d570a6f16bee3799c4f02e64fcacc80f464a37133f59abde510233826

Aliases

arxiv: 1603.03275 · arxiv_version: 1603.03275v1 · doi: 10.48550/arxiv.1603.03275 · pith_short_12: E7SANHKXBJXR · pith_short_16: E7SANHKXBJXRNPXD · pith_short_8: E7SANHKX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E7SANHKXBJXRNPXDPGOE6AXGJ7 \
  | 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: 27e4069d570a6f16bee3799c4f02e64fcacc80f464a37133f59abde510233826
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0cc6f212b29c3887d67ac02b0374806911d596ca0918c925f636186cfdd66098",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-03-10T14:14:09Z",
    "title_canon_sha256": "32ddc3d2999b856b6c95bf802914bc5a526c013c4ce5573c564a6cf8e56781d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03275",
    "kind": "arxiv",
    "version": 1
  }
}