Pith Number

pith:3UTUZNXV

pith:2016:3UTUZNXVRLHFMDQINCK45EWRZU

not attested not anchored not stored refs pending

Nonlinear Geometric Optics method based multi-scale numerical schemes for highly-oscillatory transport equations

IPSO), IRMAR), Mohammed Lemou (IPSO, Nicolas Crouseilles (IRMAR, Shi Jin

arxiv:1605.09676 v1 · 2016-05-31 · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UTUZNXVRLHFMDQINCK45EWRZU}

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	2026-05-18T01:13:10.370477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd274cb6f58ace560e086895ce92d1cd21c8e8681835c57f033e1cf76262c6c5

Aliases

arxiv: 1605.09676 · arxiv_version: 1605.09676v1 · doi: 10.48550/arxiv.1605.09676 · pith_short_12: 3UTUZNXVRLHF · pith_short_16: 3UTUZNXVRLHFMDQI · pith_short_8: 3UTUZNXV

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/3UTUZNXVRLHFMDQINCK45EWRZU \
  | 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: dd274cb6f58ace560e086895ce92d1cd21c8e8681835c57f033e1cf76262c6c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d26364cb9b2dce8db2ca48cdf11b329fe0e4bd703490ea18f76a6cd319608d7a",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-31T15:38:06Z",
    "title_canon_sha256": "0743be4f9d24f2abdad22f68b56ed0a517d09b312064b559c70b6d7710201a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09676",
    "kind": "arxiv",
    "version": 1
  }
}