Pith Number

pith:37NG6T37

pith:2017:37NG6T37RDQNUY2D7VVAWOK3P2

not attested not anchored not stored refs pending

A trace formula for functions of contractions and analytic operator Lipschitz functions

Hagen Neidhardt, Mark Malamud, Vladimir Peller

arxiv:1705.04782 v1 · 2017-05-13 · math.FA · math.CA · math.CV · 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{37NG6T37RDQNUY2D7VVAWOK3P2}

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	2026-05-18T00:44:34.652280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfda6f4f7f88e0da6343fd6a0b395b7eaabfefaf97833c6da158ad0d9c162f89

Aliases

arxiv: 1705.04782 · arxiv_version: 1705.04782v1 · doi: 10.48550/arxiv.1705.04782 · pith_short_12: 37NG6T37RDQN · pith_short_16: 37NG6T37RDQNUY2D · pith_short_8: 37NG6T37

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/37NG6T37RDQNUY2D7VVAWOK3P2 \
  | 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: dfda6f4f7f88e0da6343fd6a0b395b7eaabfefaf97833c6da158ad0d9c162f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882f9cbfcac997e7a6a7a3065c53de5ffe6cb292b94231ea76ad866ccfc4301b",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-13T02:49:43Z",
    "title_canon_sha256": "63d426e089773a3e281ec939ee7c99c7a8cd701711acfe27e25b6488a167dba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04782",
    "kind": "arxiv",
    "version": 1
  }
}