Pith Number

pith:ITWA5SHO

pith:2015:ITWA5SHOPOR72RXIE37Y3HVBZK

not attested not anchored not stored refs pending

Time-Translation Invariance of Scattering Maps and Blue-Shift Instabilities on Kerr Black Hole Spacetimes

Mihalis Dafermos, Yakov Shlapentokh-Rothman

arxiv:1512.08260 v1 · 2015-12-27 · gr-qc · math-ph · math.AP · math.DG · 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{ITWA5SHOPOR72RXIE37Y3HVBZK}

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	2026-05-18T00:57:17.826610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ec0ec8ee7ba3fd46e826ff8d9ea1caa65a815afd1b13c6c5aba3318b08f1bc

Aliases

arxiv: 1512.08260 · arxiv_version: 1512.08260v1 · doi: 10.48550/arxiv.1512.08260 · pith_short_12: ITWA5SHOPOR7 · pith_short_16: ITWA5SHOPOR72RXI · pith_short_8: ITWA5SHO

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/ITWA5SHOPOR72RXIE37Y3HVBZK \
  | 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: 44ec0ec8ee7ba3fd46e826ff8d9ea1caa65a815afd1b13c6c5aba3318b08f1bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd95d92a2838ab62b8cf4452b00d41afe83a953031aa6ead77dad5cef1bcac3d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-27T18:30:00Z",
    "title_canon_sha256": "1f682ecd6729e341f50762c1cc4583e589aace87d54a825e26220075fcfa15a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08260",
    "kind": "arxiv",
    "version": 1
  }
}