Pith Number

pith:56LPMYZM

pith:2014:56LPMYZM6R4JV4YYKGGRSJIADJ

not attested not anchored not stored refs pending

Variational principles for self-adjoint operator functions arising from second-order systems

Birgit Jacob, Carsten Trunk, Matthias Langer

arxiv:1410.7083 v3 · 2014-10-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56LPMYZM6R4JV4YYKGGRSJIADJ}

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	2026-05-18T00:48:01.544342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef96f6632cf4789af318518d1925001a5b3ea85059495bb211cf6c8ff2347ae9

Aliases

arxiv: 1410.7083 · arxiv_version: 1410.7083v3 · doi: 10.48550/arxiv.1410.7083 · pith_short_12: 56LPMYZM6R4J · pith_short_16: 56LPMYZM6R4JV4YY · pith_short_8: 56LPMYZM

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/56LPMYZM6R4JV4YYKGGRSJIADJ \
  | 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: ef96f6632cf4789af318518d1925001a5b3ea85059495bb211cf6c8ff2347ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14cd4729e716412410e8b40a66170b9ca85c84b880283aa3e5402bddfaec6e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-26T20:57:44Z",
    "title_canon_sha256": "ee09f3c6fbe9f006acf119706440f17c9c3c974a86840e010e755dc7bdf940fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7083",
    "kind": "arxiv",
    "version": 3
  }
}