Pith Number

pith:7IBGJKR2

pith:2016:7IBGJKR23JB7GYHPM2OKDRUKBD

not attested not anchored not stored refs pending

Online Adaptive Local Multiscale Model Reduction for Heterogeneous Problems in Perforated Domains

Eric T. Chung, Maria Vasilyeva, Wing Tat Leung, Yalchin Efendiev, Yating Wang

arxiv:1605.07645 v1 · 2016-05-24 · 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{7IBGJKR23JB7GYHPM2OKDRUKBD}

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	2026-05-18T01:13:45.355871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa0264aa3ada43f360ef669ca1c68a08dc544bebb119db9e96625d803c2bc5ca

Aliases

arxiv: 1605.07645 · arxiv_version: 1605.07645v1 · doi: 10.48550/arxiv.1605.07645 · pith_short_12: 7IBGJKR23JB7 · pith_short_16: 7IBGJKR23JB7GYHP · pith_short_8: 7IBGJKR2

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/7IBGJKR23JB7GYHPM2OKDRUKBD \
  | 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: fa0264aa3ada43f360ef669ca1c68a08dc544bebb119db9e96625d803c2bc5ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9eb820375810b6e943852e99bf856c6de7247336a346bb6c7efa31e519bf839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-24T20:15:40Z",
    "title_canon_sha256": "17df78481155337f53f136b2cd48a96c698ed615c09ee74f5214e8242690e697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07645",
    "kind": "arxiv",
    "version": 1
  }
}