Pith Number

pith:7ZNBF7LU

pith:2017:7ZNBF7LUD2WGW5PN3WURUPYF6K

not attested not anchored not stored refs pending

Model reduction of a kinetic swarming model by operator projection

Huazhong Tang, Junming Duan, Yangyu Kuang

arxiv:1701.02888 v1 · 2017-01-11 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZNBF7LUD2WGW5PN3WURUPYF6K}

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	2026-06-04T18:10:24.281363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5a12fd741eac6b75eddda91a3f05f28684970eef0ca40fba84030a328d4021

Aliases

arxiv: 1701.02888 · arxiv_version: 1701.02888v1 · doi: 10.48550/arxiv.1701.02888 · pith_short_12: 7ZNBF7LUD2WG · pith_short_16: 7ZNBF7LUD2WGW5PN · pith_short_8: 7ZNBF7LU

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/7ZNBF7LUD2WGW5PN3WURUPYF6K \
  | 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: fe5a12fd741eac6b75eddda91a3f05f28684970eef0ca40fba84030a328d4021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c33ddcee03b1d0fb7963ae3f6eb9eae9d74c3c49bd17fff58cdcd5a1ef85f5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-11T08:45:09Z",
    "title_canon_sha256": "01c3a1fa6e7152bfeccc9ddc51ef955cd152fbc7eb0440ebfc7d83868aa36ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02888",
    "kind": "arxiv",
    "version": 1
  }
}