Pith Number

pith:Y3MBS3DT

pith:2010:Y3MBS3DTTPXCOLALYZ6GQ52BDN

not attested not anchored not stored refs pending

Weak solutions to lubrication equations in the presence of strong slippage

Barbara Niethammer, Georgy Kitavtsev (MPI-MIS), Philippe Laurencot (IMT)

arxiv:1012.0687 v1 · 2010-12-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3MBS3DTTPXCOLALYZ6GQ52BDN}

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	2026-05-18T04:34:09.592211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6d8196c739bee272c0bc67c6877411b541307a2d8d6390f44a915f190b93e8c

Aliases

arxiv: 1012.0687 · arxiv_version: 1012.0687v1 · doi: 10.48550/arxiv.1012.0687 · pith_short_12: Y3MBS3DTTPXC · pith_short_16: Y3MBS3DTTPXCOLAL · pith_short_8: Y3MBS3DT

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/Y3MBS3DTTPXCOLALYZ6GQ52BDN \
  | 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: c6d8196c739bee272c0bc67c6877411b541307a2d8d6390f44a915f190b93e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35459b3d15e8f88e48136f68967a0a2ce51acbcfcf3ea48e9420d17a7676758f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-03T10:18:55Z",
    "title_canon_sha256": "e8f12f657945014f1169b90e8f5b918259ba3a5d2783a6f74a272eccab4bedd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0687",
    "kind": "arxiv",
    "version": 1
  }
}