Pith Number

pith:KNXO6D2G

pith:2007:KNXO6D2GVMJYLMER5QXC7V4N3T

not attested not anchored not stored refs pending

Causality and the speed of sound

George Ellis, Malcolm MacCallum, Roy Maartens

arxiv:gr-qc/0703121 v2 · 2007-03-25 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNXO6D2GVMJYLMER5QXC7V4N3T}

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

Cosmological implications and causality in $f(R, L_{m}, T)$ gravity theory with observational constraints

Receipt and verification

First computed	2026-07-04T15:25:08.276878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536eef0f46ab1385b091ec2e2fd78ddccc7b958dc2c5999e4988a1b3096f10bb

Aliases

arxiv: gr-qc/0703121 · arxiv_version: gr-qc/0703121v2 · doi: 10.48550/arxiv.gr-qc/0703121 · pith_short_12: KNXO6D2GVMJY · pith_short_16: KNXO6D2GVMJYLMER · pith_short_8: KNXO6D2G

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/KNXO6D2GVMJYLMER5QXC7V4N3T \
  | 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: 536eef0f46ab1385b091ec2e2fd78ddccc7b958dc2c5999e4988a1b3096f10bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb8c7b0e2dbb91b04e6790e4d6dcd73477bfa2d4a3186f56b459cb75232d6a63",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-03-25T20:20:00Z",
    "title_canon_sha256": "a20e2cb4aec7277d7b2f282274a2297400429d7a0e8cbf87a371ae36ac7fb34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0703121",
    "kind": "arxiv",
    "version": 2
  }
}