Pith Number

pith:2SC46K4B

pith:2019:2SC46K4B4JCT3KQQCSBSZ4E6KR

not attested not anchored not stored refs pending

Swarming transitions in hierarchical societies

Li Chen, Peter Grassberger, Tingting Xue, Xu Li

arxiv:1912.01313 v3 · 2019-12-03 · physics.bio-ph · cond-mat.dis-nn · cond-mat.stat-mech · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SC46K4B4JCT3KQQCSBSZ4E6KR}

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	2026-07-05T01:46:44.552557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d485cf2b81e2453daa1014832cf09e5473910547c26f2f7f6ac8b9434526ad34

Aliases

arxiv: 1912.01313 · arxiv_version: 1912.01313v3 · doi: 10.48550/arxiv.1912.01313 · pith_short_12: 2SC46K4B4JCT · pith_short_16: 2SC46K4B4JCT3KQQ · pith_short_8: 2SC46K4B

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/2SC46K4B4JCT3KQQCSBSZ4E6KR \
  | 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: d485cf2b81e2453daa1014832cf09e5473910547c26f2f7f6ac8b9434526ad34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0dd7c15e0383c84a1bd12b447e3d5ee94879c531b5c92ad66ec00e33d44e6a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2019-12-03T11:32:38Z",
    "title_canon_sha256": "e52c1d030c74e1f99523e475f09e7b8c06e0095c341fa02f246b09743570d89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01313",
    "kind": "arxiv",
    "version": 3
  }
}