Pith Number

pith:DDPZ4RPX

pith:2010:DDPZ4RPXFSXBQDHU56ROAKQO7P

not attested not anchored not stored refs pending

Scattering matrix and functions of self-adjoint operators

Alexander Pushnitski

arxiv:1008.1215 v1 · 2010-08-06 · 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{DDPZ4RPXFSXBQDHU56ROAKQO7P}

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	2026-05-18T04:42:33.968381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18df9e45f72cae180cf4efa2e02a0efbdfabc37138316936eb1a92062c38ad1c

Aliases

arxiv: 1008.1215 · arxiv_version: 1008.1215v1 · doi: 10.48550/arxiv.1008.1215 · pith_short_12: DDPZ4RPXFSXB · pith_short_16: DDPZ4RPXFSXBQDHU · pith_short_8: DDPZ4RPX

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/DDPZ4RPXFSXBQDHU56ROAKQO7P \
  | 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: 18df9e45f72cae180cf4efa2e02a0efbdfabc37138316936eb1a92062c38ad1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1164e26c7438fc399ae59248f8455bf75ae3c7239fe2e5a2db14f37ce798a4a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-06T14:55:15Z",
    "title_canon_sha256": "d12d28134b7d12c4f661794486076b90fca5bb966f61c279fdff967d0565e07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1215",
    "kind": "arxiv",
    "version": 1
  }
}