Pith Number

pith:JUJJSAVR

pith:2015:JUJJSAVRSTM7VXFYC5ATHBWSGX

not attested not anchored not stored refs pending

Levinson's theorem: an index theorem in scattering theory

S. Richard

arxiv:1506.08602 v1 · 2015-06-29 · math-ph · math.MP · 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{JUJJSAVRSTM7VXFYC5ATHBWSGX}

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	2026-05-18T01:37:43.848169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d129902b194d9fadcb817413386d235f41e999d9664d1e8912455433b273a54

Aliases

arxiv: 1506.08602 · arxiv_version: 1506.08602v1 · doi: 10.48550/arxiv.1506.08602 · pith_short_12: JUJJSAVRSTM7 · pith_short_16: JUJJSAVRSTM7VXFY · pith_short_8: JUJJSAVR

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/JUJJSAVRSTM7VXFYC5ATHBWSGX \
  | 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: 4d129902b194d9fadcb817413386d235f41e999d9664d1e8912455433b273a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0f0bddf2d50cc62bb962236ac156d8146705b81c2397840f5521e4f97d24a6",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-29T12:31:18Z",
    "title_canon_sha256": "29d12154a6c5a390834d78bc9b1bbc946ff4acf804e17e1ef7d0ee83e6ce73b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08602",
    "kind": "arxiv",
    "version": 1
  }
}