Pith Number

pith:M52EZPYW

pith:2015:M52EZPYWQAUGZM3DIWVPOY6KOP

not attested not anchored not stored refs pending

Absolutely Minimising Generalised Solutions to the Equations of Vectorial Calculus of Variations in $L^\infty$

Nikos Katzourakis (Reading, UK)

arxiv:1502.01179 v4 · 2015-02-04 · math.AP · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M52EZPYWQAUGZM3DIWVPOY6KOP}

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	2026-05-18T01:00:19.999868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67744cbf1680286cb36345aaf763ca73d696fd970cd6cb9b855d881ae77648e2

Aliases

arxiv: 1502.01179 · arxiv_version: 1502.01179v4 · doi: 10.48550/arxiv.1502.01179 · pith_short_12: M52EZPYWQAUG · pith_short_16: M52EZPYWQAUGZM3D · pith_short_8: M52EZPYW

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/M52EZPYWQAUGZM3DIWVPOY6KOP \
  | 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: 67744cbf1680286cb36345aaf763ca73d696fd970cd6cb9b855d881ae77648e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22818e11c047ce9a215641660227a7ef3fb37608fc85c99a675fb8148fcea7fa",
    "cross_cats_sorted": [
      "math.CA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-04T12:46:04Z",
    "title_canon_sha256": "a91b374d7d01c663c1577f0a5e944eadaa0454b5c6e2e5d0677454e24e7743bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01179",
    "kind": "arxiv",
    "version": 4
  }
}