Pith Number

pith:E3GBFZZZ

pith:2017:E3GBFZZZ4KFULFA5ROOZF3J73D

not attested not anchored not stored refs pending

Instability of spherical naked singularities of a scalar field under gravitational perturbations

Jue Liu, Junbin Li

arxiv:1710.02422 v2 · 2017-10-06 · gr-qc · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3GBFZZZ4KFULFA5ROOZF3J73D}

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	2026-05-18T00:21:34.633797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cc12e739e28b45941d8b9d92ed3fd8f5890365169f3f74e5ee47e4226d5207

Aliases

arxiv: 1710.02422 · arxiv_version: 1710.02422v2 · doi: 10.48550/arxiv.1710.02422 · pith_short_12: E3GBFZZZ4KFU · pith_short_16: E3GBFZZZ4KFULFA5 · pith_short_8: E3GBFZZZ

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/E3GBFZZZ4KFULFA5ROOZF3J73D \
  | 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: 26cc12e739e28b45941d8b9d92ed3fd8f5890365169f3f74e5ee47e4226d5207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9372590e29e47a4301f8da217cdb7a71a9718a9eb8784460241d0d158357ea9e",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-10-06T14:30:33Z",
    "title_canon_sha256": "23e99eb0188d7e699212ecbfc8a33b1a6703d3e03f720fd011632c79d62d3743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02422",
    "kind": "arxiv",
    "version": 2
  }
}