Pith Number

pith:IYLD5R3G

pith:2015:IYLD5R3GIVHEF2T4ZCL63E3FGQ

not attested not anchored not stored refs pending

The Spectral shift function and the Witten index

Alan Carey, Fedor Sukochev, Fritz Gesztesy, Galina Levitina

arxiv:1505.04895 v1 · 2015-05-19 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYLD5R3GIVHEF2T4ZCL63E3FGQ}

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	2026-05-18T02:05:22.828859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46163ec766454e42ea7cc897ed9365340362ecf52fbdc85ac1ca17d855d527c3

Aliases

arxiv: 1505.04895 · arxiv_version: 1505.04895v1 · doi: 10.48550/arxiv.1505.04895 · pith_short_12: IYLD5R3GIVHE · pith_short_16: IYLD5R3GIVHEF2T4 · pith_short_8: IYLD5R3G

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/IYLD5R3GIVHEF2T4ZCL63E3FGQ \
  | 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: 46163ec766454e42ea7cc897ed9365340362ecf52fbdc85ac1ca17d855d527c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b075099705f12a34b1742ebc22b591b89a7b08ed85dac1d3334a7aee0cd35024",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-19T07:33:53Z",
    "title_canon_sha256": "0e65baf7faaf0e6672055755a0fbeb47a7dbb3da9347d4006f7fcf32d689fdec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04895",
    "kind": "arxiv",
    "version": 1
  }
}