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Pith Number

pith:CZWOSIWP

pith:2016:CZWOSIWPGYJ7TXVWBTRZTFDN5Z
not attested not anchored not stored refs pending

Feedback arcs and node hierarchy in directed networks

Hai-Jun Zhou, Jin-Hua Zhao

arxiv:1612.05347 v1 · 2016-12-16 · physics.soc-ph · cond-mat.dis-nn · cs.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CZWOSIWPGYJ7TXVWBTRZTFDN5Z}

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 2026-05-18T00:39:00.669341Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

166ce922cf3613f9deb60ce399946dee6d3c547fad81c85e7ceed03b15d47ee9

Aliases

arxiv: 1612.05347 · arxiv_version: 1612.05347v1 · doi: 10.48550/arxiv.1612.05347 · pith_short_12: CZWOSIWPGYJ7 · pith_short_16: CZWOSIWPGYJ7TXVW · pith_short_8: CZWOSIWP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZWOSIWPGYJ7TXVWBTRZTFDN5Z \
  | 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: 166ce922cf3613f9deb60ce399946dee6d3c547fad81c85e7ceed03b15d47ee9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0bc8da7910dd1e7344e7e1162eae0c499823d27b8274e60d43a59ac1d75f043b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-12-16T03:32:43Z",
    "title_canon_sha256": "d05d41730b2332ff234a103d1e940d8efdb1973820b307a97b21e11fe0443b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05347",
    "kind": "arxiv",
    "version": 1
  }
}