Pith Number

pith:KZGJDCMN

pith:2018:KZGJDCMNDVIDQZA3YKG5KRITBD

not attested not anchored not stored refs pending

Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms

Jan Valdman, Stefan Kr\"omer

arxiv:1811.12049 v2 · 2018-11-29 · math.AP · math-ph · math.MP · 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{KZGJDCMNDVIDQZA3YKG5KRITBD}

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	2026-05-17T23:56:40.749997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

564c91898d1d5038641bc28dd5451308ed3f56bc36645880fb5ca4bbab3ead7a

Aliases

arxiv: 1811.12049 · arxiv_version: 1811.12049v2 · doi: 10.48550/arxiv.1811.12049 · pith_short_12: KZGJDCMNDVID · pith_short_16: KZGJDCMNDVIDQZA3 · pith_short_8: KZGJDCMN

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/KZGJDCMNDVIDQZA3YKG5KRITBD \
  | 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: 564c91898d1d5038641bc28dd5451308ed3f56bc36645880fb5ca4bbab3ead7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b686393624a34dcf48015cab1569f7d65eefe611c0999d57f1b75326ed991ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-29T10:22:44Z",
    "title_canon_sha256": "c735b3e938c9b8e3af9492af60fc12ceff943593ae28fa791a7a44fd9973368d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12049",
    "kind": "arxiv",
    "version": 2
  }
}