Pith Number

pith:5JWOMOAT

pith:2018:5JWOMOAT3U2UF3MXIGPHA2VWYM

not attested not anchored not stored refs pending

Vectorial variational principles in $L^\infty$ and their characterisation through PDE systems

Birzhan Ayanbayev, Nikos Katzourakis (Reading, UK)

arxiv:1812.03378 v2 · 2018-12-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JWOMOAT3U2UF3MXIGPHA2VWYM}

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	2026-05-17T23:49:02.718273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea6ce63813dd3542ed97419e706ab6c30445d86a7dfe10d8354804f4e9fd888c

Aliases

arxiv: 1812.03378 · arxiv_version: 1812.03378v2 · doi: 10.48550/arxiv.1812.03378 · pith_short_12: 5JWOMOAT3U2U · pith_short_16: 5JWOMOAT3U2UF3MX · pith_short_8: 5JWOMOAT

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/5JWOMOAT3U2UF3MXIGPHA2VWYM \
  | 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: ea6ce63813dd3542ed97419e706ab6c30445d86a7dfe10d8354804f4e9fd888c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3117234c9c94432d234a4df01cd7ae5fe10ca48b6d1b463d9b410bc7523db46e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-08T19:39:18Z",
    "title_canon_sha256": "5a4b0e7baefc68e4c579c0bda5a6f44b1f0e75613df7c4d983949656f521b1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03378",
    "kind": "arxiv",
    "version": 2
  }
}