Pith Number

pith:J4V5DCVU

pith:2018:J4V5DCVU5DO3WD75KZII22ROHD

not attested not anchored not stored refs pending

Emergent behaviors of continuous and discrete thermomechanical Cucker-Smale models on general digraphs

Doheon Kim, Jiu-Gang Dong, Seung-Yeal Ha

arxiv:1812.02874 v1 · 2018-12-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4V5DCVU5DO3WD75KZII22ROHD}

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	2026-05-17T23:58:51.574941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2bd18ab4e8ddbb0ffd56508d6a2e38fc18618331fc32b72a3d634a9f0f3622

Aliases

arxiv: 1812.02874 · arxiv_version: 1812.02874v1 · doi: 10.48550/arxiv.1812.02874 · pith_short_12: J4V5DCVU5DO3 · pith_short_16: J4V5DCVU5DO3WD75 · pith_short_8: J4V5DCVU

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/J4V5DCVU5DO3WD75KZII22ROHD \
  | 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: 4f2bd18ab4e8ddbb0ffd56508d6a2e38fc18618331fc32b72a3d634a9f0f3622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16052a6b9bf681e4f91ac810063504975f958c20ccc09abee381ec9849595576",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-07T02:03:05Z",
    "title_canon_sha256": "944875cf656ba31552b718f37a18623501ed0990c8769101ec90ee3e6da84edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02874",
    "kind": "arxiv",
    "version": 1
  }
}