Pith Number

pith:MTKD45YQ

pith:2015:MTKD45YQ6AUKDTSYNORVMMPR52

not attested not anchored not stored refs pending

Two distinct transitions in spatially embedded multiplex networks

Louis M. Shekhtman, Michael M. Danziger, Shlomo Havlin, Yehiel Berezin

arxiv:1505.01688 v1 · 2015-05-07 · 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{MTKD45YQ6AUKDTSYNORVMMPR52}

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	2026-05-18T01:04:50.598650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d43e7710f028a1ce586ba35631f1ee9d6f87ac440523c2e8462e80e8704db8

Aliases

arxiv: 1505.01688 · arxiv_version: 1505.01688v1 · doi: 10.48550/arxiv.1505.01688 · pith_short_12: MTKD45YQ6AUK · pith_short_16: MTKD45YQ6AUKDTSY · pith_short_8: MTKD45YQ

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/MTKD45YQ6AUKDTSYNORVMMPR52 \
  | 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: 64d43e7710f028a1ce586ba35631f1ee9d6f87ac440523c2e8462e80e8704db8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42a46308de267d9884c797544faa84031e0dcbbd549beeb1b55a8cd06f5023e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-05-07T12:54:11Z",
    "title_canon_sha256": "6ece35e292498a3de2756b380a70a92bed36a3ff23fa79e21be5140253370bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01688",
    "kind": "arxiv",
    "version": 1
  }
}