Pith Number

pith:JMY3JOZH

pith:2015:JMY3JOZH3G5CMIONGQ2KEORCKZ

not attested not anchored not stored refs pending

Hydrodynamic limits of the kinetic self-organized models

Linjie Xiong, Ning Jiang, Teng-Fei Zhang

arxiv:1508.04640 v1 · 2015-08-19 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMY3JOZH3G5CMIONGQ2KEORCKZ}

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	2026-05-18T01:35:02.191051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b31b4bb27d9ba2621cd3434a23a2256722d9acac367d88e82a6a96a8a54181a

Aliases

arxiv: 1508.04640 · arxiv_version: 1508.04640v1 · doi: 10.48550/arxiv.1508.04640 · pith_short_12: JMY3JOZH3G5C · pith_short_16: JMY3JOZH3G5CMION · pith_short_8: JMY3JOZH

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/JMY3JOZH3G5CMIONGQ2KEORCKZ \
  | 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: 4b31b4bb27d9ba2621cd3434a23a2256722d9acac367d88e82a6a96a8a54181a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1f40109841c2afd64ddc4e55f9efb79bc1130512a5b7c7fdf24a10623db171",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-19T13:38:18Z",
    "title_canon_sha256": "9d9780025a17c7f423c67c5993cfc002a05c18e3d9a6b2fb653c954aa4764926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04640",
    "kind": "arxiv",
    "version": 1
  }
}