Pith Number

pith:NQF54K6P

pith:2015:NQF54K6PQVDMR257NRUGI52K5N

not attested not anchored not stored refs pending

A stochastic differential equation model for foraging behavior of fish schools

Linh Thi Hoai Nguyen, Ton Viet Ta

arxiv:1509.00063 v3 · 2015-08-28 · math.PR · 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{NQF54K6PQVDMR257NRUGI52K5N}

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	2026-05-18T00:36:51.769189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c0bde2bcf8546c8ebbf6c6864774aeb7fcb103fcce81230c3ceab37abb76a28

Aliases

arxiv: 1509.00063 · arxiv_version: 1509.00063v3 · doi: 10.48550/arxiv.1509.00063 · pith_short_12: NQF54K6PQVDM · pith_short_16: NQF54K6PQVDMR257 · pith_short_8: NQF54K6P

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/NQF54K6PQVDMR257NRUGI52K5N \
  | 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: 6c0bde2bcf8546c8ebbf6c6864774aeb7fcb103fcce81230c3ceab37abb76a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6795d09f3d1143f269820388c7ec8cc00e39a185fe16aa3cc7cc40693fd196b",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-28T14:36:04Z",
    "title_canon_sha256": "85fd6faee99cfe7780c20b29533f8fc0bc509ef5789b3100303bcedc8de19a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00063",
    "kind": "arxiv",
    "version": 3
  }
}