Pith Number

pith:NJPJ2LPX

pith:2007:NJPJ2LPXSLFSXR4ZE2LZDWDBHI

not attested not anchored not stored refs pending

CR-Invariants and the Scattering Operator for Complex Manifolds with Boundary

Peter A. Perry, Peter D. Hislop, Siu-Hung Tang

arxiv:0709.1103 v1 · 2007-09-07 · math.AP · 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{NJPJ2LPXSLFSXR4ZE2LZDWDBHI}

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	2026-07-04T15:04:05.579139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a5e9d2df792cb2bc799269791d8613a272413c67b6c43aa94d6e36c6860951f

Aliases

arxiv: 0709.1103 · arxiv_version: 0709.1103v1 · doi: 10.48550/arxiv.0709.1103 · pith_short_12: NJPJ2LPXSLFS · pith_short_16: NJPJ2LPXSLFSXR4Z · pith_short_8: NJPJ2LPX

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/NJPJ2LPXSLFSXR4ZE2LZDWDBHI \
  | 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: 6a5e9d2df792cb2bc799269791d8613a272413c67b6c43aa94d6e36c6860951f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cafdd3fb5c9b3f69d0c4ec8cb3c1e225b087512d9ecf86302706f14ff2ea8bc",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-09-07T15:36:29Z",
    "title_canon_sha256": "ad9811d844b779b80de96c1f34b65b0863acccf3d2c8b809ad533ca77bf72605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1103",
    "kind": "arxiv",
    "version": 1
  }
}