Pith Number

pith:5HPVJFMK

pith:2015:5HPVJFMKPA5O4ZW47SWDFU22ND

not attested not anchored not stored refs pending

Improved automatic computation of Hessian matrix spectral bounds

Martin M\"onnigmann, Moritz Schulze Darup

arxiv:1507.06161 v1 · 2015-07-22 · 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{5HPVJFMKPA5O4ZW47SWDFU22ND}

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	2026-05-18T01:36:26.533787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9df54958a783aee66dcfcac32d35a68d9d41ba38bec85a378854d5d243991a7

Aliases

arxiv: 1507.06161 · arxiv_version: 1507.06161v1 · doi: 10.48550/arxiv.1507.06161 · pith_short_12: 5HPVJFMKPA5O · pith_short_16: 5HPVJFMKPA5O4ZW4 · pith_short_8: 5HPVJFMK

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/5HPVJFMKPA5O4ZW47SWDFU22ND \
  | 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: e9df54958a783aee66dcfcac32d35a68d9d41ba38bec85a378854d5d243991a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4578f4db8868928f4e3570998dac675030c34fdc73b01008b1df2223b9d5414",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-22T12:47:33Z",
    "title_canon_sha256": "fffdc9bd7e211cac1d752d5ae76474f18c2012051d37724837a4bd2cb2655675"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06161",
    "kind": "arxiv",
    "version": 1
  }
}