Pith Number

pith:4G5LCOLB

pith:2025:4G5LCOLB4FWCEULTMROABJJEXY

not attested not anchored not stored refs pending

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems

Eric Schippers, Wolfgang Staubach

arxiv:2506.08160 v1 · 2025-06-09 · math.DG · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4G5LCOLB4FWCEULTMROABJJEXY}

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	2026-07-05T11:18:45.644259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1bab13961e16c225173645c00a524be2a45ad17648bec9f2f09639148062129

Aliases

arxiv: 2506.08160 · arxiv_version: 2506.08160v1 · doi: 10.48550/arxiv.2506.08160 · pith_short_12: 4G5LCOLB4FWC · pith_short_16: 4G5LCOLB4FWCEULT · pith_short_8: 4G5LCOLB

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/4G5LCOLB4FWCEULTMROABJJEXY \
  | 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: e1bab13961e16c225173645c00a524be2a45ad17648bec9f2f09639148062129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fd24cbc86eac861a3e0a48cf6c756b770a2fd2807d1510c364a9db9c92b10d",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-06-09T19:12:27Z",
    "title_canon_sha256": "92f79afee3287664000184d11afba5d2f68e95b13867de733c8875201c9b3d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08160",
    "kind": "arxiv",
    "version": 1
  }
}