Pith Number

pith:SSQC7UGP

pith:2005:SSQC7UGP5S3M5BJSEEUEPVVX6A

not attested not anchored not stored refs pending

The red-shift effect and radiation decay on black hole spacetimes

Igor Rodnianski, Mihalis Dafermos

arxiv:gr-qc/0512119 v1 · 2005-12-21 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSQC7UGP5S3M5BJSEEUEPVVX6A}

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

2 papers in Pith

Infrared Universality: The $r^{-3}$ Spectral Threshold for Coupled Gravitational and Electromagnetic Fields

Taming the Aretakis instability: extremal black holes with multi-degenerate horizons

Receipt and verification

First computed	2026-05-18T02:30:23.238774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a02fd0cfecb6ce8532212847d6b7f016f127d1287fc6e5414e08f7447b476c

Aliases

arxiv: gr-qc/0512119 · arxiv_version: gr-qc/0512119v1 · doi: 10.48550/arxiv.gr-qc/0512119 · pith_short_12: SSQC7UGP5S3M · pith_short_16: SSQC7UGP5S3M5BJS · pith_short_8: SSQC7UGP

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/SSQC7UGP5S3M5BJSEEUEPVVX6A \
  | 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: 94a02fd0cfecb6ce8532212847d6b7f016f127d1287fc6e5414e08f7447b476c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c4513dba0146030fc0b0d15eba3748292b310d2eaf123892ee97c20895b349",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-21T00:02:40Z",
    "title_canon_sha256": "b4233a9019224cded6448aa32ba99f3a258c3d0319b925976313e087a4266759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512119",
    "kind": "arxiv",
    "version": 1
  }
}