Pith Number

pith:ECMG4R2Z

pith:2020:ECMG4R2ZK2A5ONQOP57LJKSQPI

not attested not anchored not stored refs pending

The Gregory-Laflamme Instability of the Schwarzschild Black String Exterior

Sam C. Collingbourne

arxiv:2007.08441 v1 · 2020-07-16 · 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{ECMG4R2ZK2A5ONQOP57LJKSQPI}

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

On turbulence for spacetimes with stable trapping

Receipt and verification

First computed	2026-07-05T08:33:15.191772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20986e47595681d7360e7f7eb4aa507a2a32aae597231fa67897622c4dfdde20

Aliases

arxiv: 2007.08441 · arxiv_version: 2007.08441v1 · doi: 10.48550/arxiv.2007.08441 · pith_short_12: ECMG4R2ZK2A5 · pith_short_16: ECMG4R2ZK2A5ONQO · pith_short_8: ECMG4R2Z

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/ECMG4R2ZK2A5ONQOP57LJKSQPI \
  | 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: 20986e47595681d7360e7f7eb4aa507a2a32aae597231fa67897622c4dfdde20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e5d1872636870abcd3c911057a0f698b75b491683b6f1723577d0d00176d47c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-16T16:26:02Z",
    "title_canon_sha256": "353b0632c2bd5d4e07b7fe9ac8e21a3d279cf89e8d09792c16b04ef5917a83c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08441",
    "kind": "arxiv",
    "version": 1
  }
}