Pith Number

pith:2P4ITHKG

pith:2016:2P4ITHKGHX5BU6FC5HNEKHCUBU

not attested not anchored not stored refs pending

Critical size of ego communication networks

Hui Tian, Jian Gao, Qing Wang, Tao Zhou, Zheng Hu

arxiv:1606.03911 v2 · 2016-06-13 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2P4ITHKGHX5BU6FC5HNEKHCUBU}

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	2026-05-18T00:52:23.229242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f8899d463dfa1a78a2e9da451c540d34924e07038cb7a38ed3e59812a04903

Aliases

arxiv: 1606.03911 · arxiv_version: 1606.03911v2 · doi: 10.48550/arxiv.1606.03911 · pith_short_12: 2P4ITHKGHX5B · pith_short_16: 2P4ITHKGHX5BU6FC · pith_short_8: 2P4ITHKG

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/2P4ITHKGHX5BU6FC5HNEKHCUBU \
  | 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: d3f8899d463dfa1a78a2e9da451c540d34924e07038cb7a38ed3e59812a04903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880c78ea75c18027d217e1aa074a43684db8fab45ec5b5e6975cc9e6e1df44f4",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-06-13T12:02:49Z",
    "title_canon_sha256": "f3801582ad7796231ca8c7df0731cc35af9d616e25983b5ed5e58b5c63ec52fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03911",
    "kind": "arxiv",
    "version": 2
  }
}