Pith Number

pith:LH3FKDNA

pith:2016:LH3FKDNAF2DHONW3XUYG7WW7KJ

not attested not anchored not stored refs pending

The Impact of Negative Interest Rates on Optimal Capital Injections

Julia Eisenberg, Paul Kr\"uhner

arxiv:1612.06654 v1 · 2016-12-20 · q-fin.MF · 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{LH3FKDNAF2DHONW3XUYG7WW7KJ}

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	2026-05-18T00:54:25.116375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f6550da02e867736dbbd306fdadf525cc809ea000ee287e802b987cdce8ea9

Aliases

arxiv: 1612.06654 · arxiv_version: 1612.06654v1 · doi: 10.48550/arxiv.1612.06654 · pith_short_12: LH3FKDNAF2DH · pith_short_16: LH3FKDNAF2DHONW3 · pith_short_8: LH3FKDNA

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/LH3FKDNAF2DHONW3XUYG7WW7KJ \
  | 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: 59f6550da02e867736dbbd306fdadf525cc809ea000ee287e802b987cdce8ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3acbf268d0cd95f135461f3795c313f3754272f6764f3c52cb3b62f4a1d195e7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-12-20T13:36:36Z",
    "title_canon_sha256": "9c89cd7b2a2fba6c0b639f7446457468f0fceed14a4f54ba3fd70f758a37a87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06654",
    "kind": "arxiv",
    "version": 1
  }
}