pith. sign in
Pith Number

pith:NVYQNUGM

pith:2007:NVYQNUGMPZSIZCIURJFQ6Y2CPZ
not attested not anchored not stored refs pending

Large scale dynamics of the Persistent Turning Walker model of fish behavior

Pierre Degond (IMT), S\'ebastien Motsch (IMT)

arxiv:0710.4996 v1 · 2007-10-26 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NVYQNUGMPZSIZCIURJFQ6Y2CPZ}

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 2026-05-18T02:54:47.654989Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6d7106d0cc7e648c89148a4b0f63427e41733150b27ef637abe88e26d407329d

Aliases

arxiv: 0710.4996 · arxiv_version: 0710.4996v1 · doi: 10.48550/arxiv.0710.4996 · pith_short_12: NVYQNUGMPZSI · pith_short_16: NVYQNUGMPZSIZCIU · pith_short_8: NVYQNUGM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NVYQNUGMPZSIZCIURJFQ6Y2CPZ \
  | 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: 6d7106d0cc7e648c89148a4b0f63427e41733150b27ef637abe88e26d407329d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8ce0b4266e793418311f097b27aad657510ce97bb442388fdef0c72e5290d798",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-26T06:21:00Z",
    "title_canon_sha256": "6dbe03716b1528104a6556d36e9e6167f2b259034e3749cb90a8f5db4302930b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4996",
    "kind": "arxiv",
    "version": 1
  }
}