Pith Number

pith:L7JB2QG7

pith:2001:L7JB2QG7XZLHZWW3N3Z4FIXWI2

not attested not anchored not stored refs pending

Quantum Inequalities for the Electromagnetic Field

Michael J. Pfenning

arxiv:gr-qc/0107075 v1 · 2001-07-23 · gr-qc · hep-th · 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{L7JB2QG7XZLHZWW3N3Z4FIXWI2}

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	2026-07-04T16:26:56.007363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd21d40dfbe567cdadb6ef3c2a2f6468680eee2f28314c6db1d957c54619669

Aliases

arxiv: gr-qc/0107075 · arxiv_version: gr-qc/0107075v1 · doi: 10.48550/arxiv.gr-qc/0107075 · pith_short_12: L7JB2QG7XZLH · pith_short_16: L7JB2QG7XZLHZWW3 · pith_short_8: L7JB2QG7

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/L7JB2QG7XZLHZWW3N3Z4FIXWI2 \
  | 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: 5fd21d40dfbe567cdadb6ef3c2a2f6468680eee2f28314c6db1d957c54619669

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa9051719356ae95295cc05cd77116e628df1fef629ebe1d62281b7d1647c076",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-07-23T20:09:07Z",
    "title_canon_sha256": "acab59ac615bf32b99f1d6438442dd6f6f3eb3966bad132ec27caea703bf0046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0107075",
    "kind": "arxiv",
    "version": 1
  }
}