Pith Number

pith:QC2PRC6Q

pith:2007:QC2PRC6QWAQSZEXQBZCEYJQKP6

not attested not anchored not stored refs pending

Causality and Micro-Causality in Curved Spacetime

Graham M. Shore, Timothy J. Hollowood

arxiv:0707.2302 v2 · 2007-07-16 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QC2PRC6QWAQSZEXQBZCEYJQKP6}

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.

Cited by

1 paper in Pith

Microcausality without Lorentz invariance

Receipt and verification

First computed	2026-07-04T15:21:20.992700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b4f88bd0b0212c92f00e444c260a7f87c680b3b5bbff7e954b024b93d67178

Aliases

arxiv: 0707.2302 · arxiv_version: 0707.2302v2 · doi: 10.48550/arxiv.0707.2302 · pith_short_12: QC2PRC6QWAQS · pith_short_16: QC2PRC6QWAQSZEXQ · pith_short_8: QC2PRC6Q

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/QC2PRC6QWAQSZEXQBZCEYJQKP6 \
  | 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: 80b4f88bd0b0212c92f00e444c260a7f87c680b3b5bbff7e954b024b93d67178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f67a1da3a5185cfc3f839231ca97a8a9fd30913647b0cc13b784bf1da207bd2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-07-16T11:13:48Z",
    "title_canon_sha256": "f2bff08a68a05af77041971915ca65e35cc1860389f1b49588c31caa97d1ed1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2302",
    "kind": "arxiv",
    "version": 2
  }
}