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Pith Number

pith:2LY43NTQ

pith:2012:2LY43NTQBVUNUVW73VIEOX2DGS
not attested not anchored not stored refs pending

Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes

Axel Klar, Christian Schmeiser, Cl\'ement Mouhot, Jean Dolbeault (CEREMADE)

arxiv:1201.2156 v1 · 2012-01-10 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2LY43NTQBVUNUVW73VIEOX2DGS}

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 2026-05-18T03:02:21.474889Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d2f1cdb6700d68da56dfdd50475f4334bbabab41ea670980b13bd3d1ee484aa8

Aliases

arxiv: 1201.2156 · arxiv_version: 1201.2156v1 · doi: 10.48550/arxiv.1201.2156 · pith_short_12: 2LY43NTQBVUN · pith_short_16: 2LY43NTQBVUNUVW7 · pith_short_8: 2LY43NTQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LY43NTQBVUNUVW73VIEOX2DGS \
  | 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: d2f1cdb6700d68da56dfdd50475f4334bbabab41ea670980b13bd3d1ee484aa8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a0fd25da7e0ea599229b0da1d34fe8cd08ae42bf6ab6838d3538b174f3d65c13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-10T20:14:01Z",
    "title_canon_sha256": "688413afe6a6b223c1a29deb9af9d3eabc48dc142047c27f2b42059057349f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2156",
    "kind": "arxiv",
    "version": 1
  }
}