Pith Number

pith:35KXANIP

pith:2010:35KXANIP2MPYY6KAC2VSPU6WU6

not attested not anchored not stored refs pending

Spatially Adaptive Stochastic Multigrid Methods for Fluid-Structure Systems with Thermal Fluctuations

Paul J. Atzberger

arxiv:1003.2680 v1 · 2010-03-13 · cond-mat.soft · cs.NA · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35KXANIP2MPYY6KAC2VSPU6WU6}

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	2026-06-03T23:06:34.606643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5570350fd31f8c794016ab27d3d6a78cdb67feab591edec2d83b6bbcdf32a6

Aliases

arxiv: 1003.2680 · arxiv_version: 1003.2680v1 · doi: 10.48550/arxiv.1003.2680 · pith_short_12: 35KXANIP2MPY · pith_short_16: 35KXANIP2MPYY6KA · pith_short_8: 35KXANIP

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/35KXANIP2MPYY6KAC2VSPU6WU6 \
  | 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: df5570350fd31f8c794016ab27d3d6a78cdb67feab591edec2d83b6bbcdf32a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05c2ffcbe68cfc3660274186d7cd52fb6325a3ed5eb1742082c396aa657261d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-03-13T06:07:19Z",
    "title_canon_sha256": "cb0b032f3e26bc0143772fce67cae2b45173a444bc665f42cc2877e6fb5a2083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2680",
    "kind": "arxiv",
    "version": 1
  }
}