Pith Number

pith:OAB4EJ75

pith:2010:OAB4EJ75RJZOXLDNZAROIQKVS3

not attested not anchored not stored refs pending

On the wave operators and Levinson's theorem for potential scattering in R^3

J. Kellendonk, S. Richard

arxiv:1009.4746 v1 · 2010-09-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAB4EJ75RJZOXLDNZAROIQKVS3}

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	2026-05-18T04:40:21.305528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7003c227fd8a72ebac6dc822e4415596c324e0635fbfa26ecef59415e1d2f39e

Aliases

arxiv: 1009.4746 · arxiv_version: 1009.4746v1 · doi: 10.48550/arxiv.1009.4746 · pith_short_12: OAB4EJ75RJZO · pith_short_16: OAB4EJ75RJZOXLDN · pith_short_8: OAB4EJ75

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/OAB4EJ75RJZOXLDNZAROIQKVS3 \
  | 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: 7003c227fd8a72ebac6dc822e4415596c324e0635fbfa26ecef59415e1d2f39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69bd9370bf3bf472f8a561b9c818ba4c05958b8ca1cf59df4ed121911f2a5858",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-24T01:06:20Z",
    "title_canon_sha256": "339e596b5f94ea3a449c5f732e1be296f00ba7611828e2b3ee0987e0aebd335b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4746",
    "kind": "arxiv",
    "version": 1
  }
}