Pith Number

pith:VHDJ6YMX

pith:2016:VHDJ6YMX4VVD6QQ7MKRA5NVQ23

not attested not anchored not stored refs pending

The classical theory of calculus of variations for generalized functions

Alexander Lecke, Lorenzo Luperi Baglini, Paolo Giordano

arxiv:1608.03080 v1 · 2016-08-10 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHDJ6YMX4VVD6QQ7MKRA5NVQ23}

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	2026-05-18T01:09:30.310186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c69f6197e56a3f421f62a20eb6b0d6cc23c3289d8e41c106bc0ea3a7024866

Aliases

arxiv: 1608.03080 · arxiv_version: 1608.03080v1 · doi: 10.48550/arxiv.1608.03080 · pith_short_12: VHDJ6YMX4VVD · pith_short_16: VHDJ6YMX4VVD6QQ7 · pith_short_8: VHDJ6YMX

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/VHDJ6YMX4VVD6QQ7MKRA5NVQ23 \
  | 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: a9c69f6197e56a3f421f62a20eb6b0d6cc23c3289d8e41c106bc0ea3a7024866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16ff7652cd8f4bb4f2775f32f9449d4afebbacaa499c2b6847f860cf795916e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-10T08:32:26Z",
    "title_canon_sha256": "7224a4b4549fff293e5478fb2afbec69c26b3486a0f6d35d66a725f74eaa4790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03080",
    "kind": "arxiv",
    "version": 1
  }
}