Pith Number

pith:RU5IU5M5

pith:2016:RU5IU5M5DUTDM4FPRDEUOD76ND

not attested not anchored not stored refs pending

An enhanced finite element method for a class of variational problems exhibiting the Lavrentiev gap phenomenon

Stefan Schnake, Xiaobing Feng

arxiv:1610.03111 v1 · 2016-10-10 · 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{RU5IU5M5DUTDM4FPRDEUOD76ND}

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	2026-05-18T01:02:46.519862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3a8a759d1d263670af88c9470ffe68c4fda3801d0ab63845cd9ff110c164aa

Aliases

arxiv: 1610.03111 · arxiv_version: 1610.03111v1 · doi: 10.48550/arxiv.1610.03111 · pith_short_12: RU5IU5M5DUTD · pith_short_16: RU5IU5M5DUTDM4FP · pith_short_8: RU5IU5M5

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/RU5IU5M5DUTDM4FPRDEUOD76ND \
  | 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: 8d3a8a759d1d263670af88c9470ffe68c4fda3801d0ab63845cd9ff110c164aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a0a86f05a2b28a2df7edbe0aea0b460e2983eee436bd0e145a7036f416a099",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-10-10T22:05:54Z",
    "title_canon_sha256": "a3951ed1946105d8ef4c85f7418ce055b811ef37921a409da97f5b92c3aa65f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03111",
    "kind": "arxiv",
    "version": 1
  }
}