Pith Number

pith:ZWNE2PQI

pith:2015:ZWNE2PQID5J2J5U2RMZJGTBQAE

not attested not anchored not stored refs pending

Homogenization problems in the Calculus of Variations: an overview

Jos\'e Matias, Marco Morandotti

arxiv:1503.05337 v1 · 2015-03-18 · math.OC · 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{ZWNE2PQID5J2J5U2RMZJGTBQAE}

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	2026-05-18T02:21:50.734147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9a4d3e081f53a4f69a8b32934c3001299179d675dd8364d0d7dc9b586736ec

Aliases

arxiv: 1503.05337 · arxiv_version: 1503.05337v1 · doi: 10.48550/arxiv.1503.05337 · pith_short_12: ZWNE2PQID5J2 · pith_short_16: ZWNE2PQID5J2J5U2 · pith_short_8: ZWNE2PQI

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/ZWNE2PQID5J2J5U2RMZJGTBQAE \
  | 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: cd9a4d3e081f53a4f69a8b32934c3001299179d675dd8364d0d7dc9b586736ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85099bed3823c020593e8ddf09d562c9322077de6300cf6d743e8c462a964d96",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-18T10:58:30Z",
    "title_canon_sha256": "077843d4716575dd424217f230c7f2990c81cec56eaeff9ee43eb9145a04279e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05337",
    "kind": "arxiv",
    "version": 1
  }
}