Pith Number

pith:4HSO36WC

pith:2015:4HSO36WCO2NPUFZHTIP56XTPUK

not attested not anchored not stored refs pending

Variational analysis of spectral functions simplified

C. Kempton, D. Drusvyatskiy

arxiv:1506.05170 v2 · 2015-06-16 · 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{4HSO36WCO2NPUFZHTIP56XTPUK}

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	2026-05-18T01:36:27.312500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e4edfac2769afa17279a1fdf5e6fa29989cca8868845bbf9b488056ee322a2

Aliases

arxiv: 1506.05170 · arxiv_version: 1506.05170v2 · doi: 10.48550/arxiv.1506.05170 · pith_short_12: 4HSO36WCO2NP · pith_short_16: 4HSO36WCO2NPUFZH · pith_short_8: 4HSO36WC

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/4HSO36WCO2NPUFZHTIP56XTPUK \
  | 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: e1e4edfac2769afa17279a1fdf5e6fa29989cca8868845bbf9b488056ee322a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ab65597ba75d3446dad3d6362283a369e5c1fb1c0a92179ca58bfb12e4a18c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-16T23:15:27Z",
    "title_canon_sha256": "4d415573b6a01ce3433b18803abf6cfde156ed78d15d371bf1dd24b5d9f91b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05170",
    "kind": "arxiv",
    "version": 2
  }
}