Pith Number

pith:RCKDUH2O

pith:2016:RCKDUH2OHSAKAY4KOV6CHVHRYZ

not attested not anchored not stored refs pending

Fredholm Operators and Spectral Flow

Nils Waterstraat

arxiv:1603.02009 v1 · 2016-03-07 · math.FA · 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{RCKDUH2OHSAKAY4KOV6CHVHRYZ}

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.

Cited by

1 paper in Pith

Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder

Receipt and verification

First computed	2026-05-18T01:19:31.862666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88943a1f4e3c80a0638a757c23d4f1c67e9a633f8bdf54d9ee201f7d4bd51a02

Aliases

arxiv: 1603.02009 · arxiv_version: 1603.02009v1 · doi: 10.48550/arxiv.1603.02009 · pith_short_12: RCKDUH2OHSAK · pith_short_16: RCKDUH2OHSAKAY4K · pith_short_8: RCKDUH2O

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/RCKDUH2OHSAKAY4KOV6CHVHRYZ \
  | 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: 88943a1f4e3c80a0638a757c23d4f1c67e9a633f8bdf54d9ee201f7d4bd51a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8923afcf7df1b30064dad1c1fce13d981731a9b648f559f670dafa509cbc2028",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-07T11:20:30Z",
    "title_canon_sha256": "53dd870e6ffb34c12498b31c5245391732dfaf59cd9493f3d7f00783c8b2d7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02009",
    "kind": "arxiv",
    "version": 1
  }
}