Pith Number

pith:VBVNZEMV

pith:2015:VBVNZEMVT5VESVWIO2KO4FTUBY

not attested not anchored not stored refs pending

Mixed GMsFEM for the simulation of waves in highly heterogeneous media

Eric T. Chung, Wing Tat Leung

arxiv:1509.02239 v1 · 2015-09-08 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBVNZEMVT5VESVWIO2KO4FTUBY}

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	2026-05-18T01:33:41.418845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86adc91959f6a4956c87694ee16740e0cdc08a148ebf7e696b72bce1b30f13f

Aliases

arxiv: 1509.02239 · arxiv_version: 1509.02239v1 · doi: 10.48550/arxiv.1509.02239 · pith_short_12: VBVNZEMVT5VE · pith_short_16: VBVNZEMVT5VESVWI · pith_short_8: VBVNZEMV

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/VBVNZEMVT5VESVWIO2KO4FTUBY \
  | 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: a86adc91959f6a4956c87694ee16740e0cdc08a148ebf7e696b72bce1b30f13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f4bef9e7fe6d415e7bffc828d72b87ed7c6d644bb80e8490cdc5e4a6eb28d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-08T01:26:30Z",
    "title_canon_sha256": "9b531bb99a8a0961837fb6150849433947c4d1812734f157e37bd37f991d2893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02239",
    "kind": "arxiv",
    "version": 1
  }
}