Pith Number

pith:XXB6COGQ

pith:2018:XXB6COGQXZTMHCA4KINISAH6JZ

not attested not anchored not stored refs pending

Topological Phase Transitions in Spatial Networks

Albert-Laszlo Barabasi, Bela Bollobas, Chaoming Song, Oliver Riordan, Paul Balister

arxiv:1806.10114 v1 · 2018-06-26 · physics.soc-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXB6COGQXZTMHCA4KINISAH6JZ}

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	2026-05-18T00:12:16.419063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc3e138d0be66c3881c521a8900fe4e7c171a08cc8163f20cc54fc03898e4e9

Aliases

arxiv: 1806.10114 · arxiv_version: 1806.10114v1 · doi: 10.48550/arxiv.1806.10114 · pith_short_12: XXB6COGQXZTM · pith_short_16: XXB6COGQXZTMHCA4 · pith_short_8: XXB6COGQ

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/XXB6COGQXZTMHCA4KINISAH6JZ \
  | 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: bdc3e138d0be66c3881c521a8900fe4e7c171a08cc8163f20cc54fc03898e4e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d01772b2818de5b6605204149f6d49e8a81f44c6a72ddce6781cf90bea36a43",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2018-06-26T17:22:25Z",
    "title_canon_sha256": "c45ecd4ef5314cdf4587acb8038d8ce48c04bb3cbf5508af14458a46a3007b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10114",
    "kind": "arxiv",
    "version": 1
  }
}