Pith Number

pith:LPM7PTNL

pith:2013:LPM7PTNLR3LDQBS5AGMGWKMZ3C

not attested not anchored not stored refs pending

Critical Transitions in Social Network Activity

Christian Kuehn, Daniel Romero, Erik A. Martens

arxiv:1307.8250 v2 · 2013-07-31 · physics.soc-ph · cs.SI · nlin.AO · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPM7PTNLR3LDQBS5AGMGWKMZ3C}

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	2026-05-18T02:25:34.324695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd9f7cdab8ed638065d01986b2999d890e8406ab2096152c96cb42afb5b1a86

Aliases

arxiv: 1307.8250 · arxiv_version: 1307.8250v2 · doi: 10.48550/arxiv.1307.8250 · pith_short_12: LPM7PTNLR3LD · pith_short_16: LPM7PTNLR3LDQBS5 · pith_short_8: LPM7PTNL

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/LPM7PTNLR3LDQBS5AGMGWKMZ3C \
  | 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: 5bd9f7cdab8ed638065d01986b2999d890e8406ab2096152c96cb42afb5b1a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682c2d88afeec00257c0eba1e5acd5c2fbc4c052c68b2bbf756e02867774613e",
    "cross_cats_sorted": [
      "cs.SI",
      "nlin.AO",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-07-31T08:31:28Z",
    "title_canon_sha256": "c9c7b22bce593450d2bc76faf8ea7bb9534e1241a96db825ced2e6b66a88b38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8250",
    "kind": "arxiv",
    "version": 2
  }
}