Pith Number

pith:OA4LMMUL

pith:2011:OA4LMMULTCXZIKNXMI5DI4LP57

not attested not anchored not stored refs pending

Kramers-Kronig, Bode, and the meaning of zero

John Bechhoefer

arxiv:1107.0071 v1 · 2011-06-30 · physics.class-ph · cond-mat.other · physics.pop-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OA4LMMULTCXZIKNXMI5DI4LP57}

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	2026-05-18T02:19:50.998587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7038b6328b98af9429b7623a34716feffc2737f18fc15c07f375d93bf7a3f6db

Aliases

arxiv: 1107.0071 · arxiv_version: 1107.0071v1 · doi: 10.48550/arxiv.1107.0071 · pith_short_12: OA4LMMULTCXZ · pith_short_16: OA4LMMULTCXZIKNX · pith_short_8: OA4LMMUL

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/OA4LMMULTCXZIKNXMI5DI4LP57 \
  | 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: 7038b6328b98af9429b7623a34716feffc2737f18fc15c07f375d93bf7a3f6db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a53caabbd5614fea784d21449a601cfc11fe3d54aba319cac8ee86f511bc6d",
    "cross_cats_sorted": [
      "cond-mat.other",
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-06-30T21:53:44Z",
    "title_canon_sha256": "20c6ab285575de4a3aacd0a001743f3d02c55b61c53a3870f5486b554ebfde0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0071",
    "kind": "arxiv",
    "version": 1
  }
}