Pith Number

pith:JZDDPN2Z

pith:2016:JZDDPN2ZXQX5TFGXJH73CJSHUY

not attested not anchored not stored refs pending

A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems

Matthias Maier, Rolf Rannacher

arxiv:1611.09437 v2 · 2016-11-28 · 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{JZDDPN2ZXQX5TFGXJH73CJSHUY}

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	2026-05-18T00:29:10.840397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4637b759bc2fd994d749ffb12647a62103736b95a7d8552ed802ed2d84d5c5

Aliases

arxiv: 1611.09437 · arxiv_version: 1611.09437v2 · doi: 10.48550/arxiv.1611.09437 · pith_short_12: JZDDPN2ZXQX5 · pith_short_16: JZDDPN2ZXQX5TFGX · pith_short_8: JZDDPN2Z

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/JZDDPN2ZXQX5TFGXJH73CJSHUY \
  | 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: 4e4637b759bc2fd994d749ffb12647a62103736b95a7d8552ed802ed2d84d5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b15ab6e4a9db40063ba9ba75ee6a99c59e4886630fe4ec35ddaac61364d752c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-28T23:56:50Z",
    "title_canon_sha256": "d28c9a0b275bfab6bb191f4522e2a66777a0efbba25a53d502a0ba4af0ad86e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09437",
    "kind": "arxiv",
    "version": 2
  }
}