Pith Number

pith:JXTSFNMF

pith:2013:JXTSFNMFBPQSEU2C3QKVSHINNM

not attested not anchored not stored refs pending

Triple Variational Principles for Self-Adjoint Operator Functions

Matthias Langer, Michael Strauss

arxiv:1309.0797 v2 · 2013-09-03 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXTSFNMFBPQSEU2C3QKVSHINNM}

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	2026-05-18T01:17:10.518682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de722b5850be1225342dc15591d0d6b136664ec81382dd888f41b8536ce3678

Aliases

arxiv: 1309.0797 · arxiv_version: 1309.0797v2 · doi: 10.48550/arxiv.1309.0797 · pith_short_12: JXTSFNMFBPQS · pith_short_16: JXTSFNMFBPQSEU2C · pith_short_8: JXTSFNMF

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/JXTSFNMFBPQSEU2C3QKVSHINNM \
  | 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: 4de722b5850be1225342dc15591d0d6b136664ec81382dd888f41b8536ce3678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9ffa3a7547c069cd65afb86fae01b84c80d21cc0b9be896471140d9b59ee25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-03T19:39:58Z",
    "title_canon_sha256": "f45a3d6e0a111fd2d5a38f3e5b6ae6e35b95e1889d48955a4590fc7cf6fb2bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0797",
    "kind": "arxiv",
    "version": 2
  }
}