Pith Number

pith:67M7YMAR

pith:2018:67M7YMARCFK63GSSWXL6S34BV7

not attested not anchored not stored refs pending

Learning interacting particle systems: diffusion parameter estimation for aggregation equations

Hui Huang, Jianfeng Lu, Jian-Guo Liu

arxiv:1802.02267 v3 · 2018-02-07 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67M7YMARCFK63GSSWXL6S34BV7}

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	2026-05-18T00:03:41.535227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d9fc30111155ed9a52b5d7e96f81afef897666e1013fda97621a3df4632f59

Aliases

arxiv: 1802.02267 · arxiv_version: 1802.02267v3 · doi: 10.48550/arxiv.1802.02267 · pith_short_12: 67M7YMARCFK6 · pith_short_16: 67M7YMARCFK63GSS · pith_short_8: 67M7YMAR

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/67M7YMARCFK63GSSWXL6S34BV7 \
  | 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: f7d9fc30111155ed9a52b5d7e96f81afef897666e1013fda97621a3df4632f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5997211633b121b7157605531e6145210a4fd341b8d709810c0859cf5eb2f88",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-07T00:06:28Z",
    "title_canon_sha256": "5486cab37eca6f9893de76c95150a7af626d87000b007c42fbcd05c0991b8792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02267",
    "kind": "arxiv",
    "version": 3
  }
}