Pith Number

pith:TRNKUL7S

pith:2008:TRNKUL7SF65JEUNC5E54L6PCBG

not attested not anchored not stored refs pending

Micro-Macro Modelling of an Array of Spheres Interacting Through Lubrication Forces

Aline Lefebvre (CMAP), Aline Lefebvre-Lepot (CMAP), Bertrand Maury (LM-Orsay)

arxiv:0802.2671 v2 · 2008-02-19 · 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{TRNKUL7SF65JEUNC5E54L6PCBG}

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	2026-05-18T03:46:17.192900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5aaa2ff22fba9251a2e93bc5f9e209a3b87fa4122e41b991530e2fa3edd672

Aliases

arxiv: 0802.2671 · arxiv_version: 0802.2671v2 · doi: 10.48550/arxiv.0802.2671 · pith_short_12: TRNKUL7SF65J · pith_short_16: TRNKUL7SF65JEUNC · pith_short_8: TRNKUL7S

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/TRNKUL7SF65JEUNC5E54L6PCBG \
  | 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: 9c5aaa2ff22fba9251a2e93bc5f9e209a3b87fa4122e41b991530e2fa3edd672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414628d749d499cda3165f62d74f5315f63c546e885c718dfabc0a11042263fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-19T15:42:46Z",
    "title_canon_sha256": "087f879b8589658ff4d1519557dd8e91124397b7d8cdaeadd7bcbebddfd87b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2671",
    "kind": "arxiv",
    "version": 2
  }
}