Pith Number

pith:WA5SWAZM

pith:2020:WA5SWAZM7K6KMV24P23XU7EY7M

not attested not anchored not stored refs pending

Chaos at the rim of black hole and fuzzball shadows

Alfredo Grillo, Jose Francisco Morales, Massimo Bianchi

arxiv:2002.05574 v3 · 2020-02-13 · 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{WA5SWAZM7K6KMV24P23XU7EY7M}

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

Bounds for Lyapunov exponent of circular light orbits in black holes

Receipt and verification

First computed	2026-07-05T01:12:37.752504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03b2b032cfabca6575c7eb77a7c98fb37a7be8f88746c5898137b2faf067334

Aliases

arxiv: 2002.05574 · arxiv_version: 2002.05574v3 · doi: 10.48550/arxiv.2002.05574 · pith_short_12: WA5SWAZM7K6K · pith_short_16: WA5SWAZM7K6KMV24 · pith_short_8: WA5SWAZM

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/WA5SWAZM7K6KMV24P23XU7EY7M \
  | 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: b03b2b032cfabca6575c7eb77a7c98fb37a7be8f88746c5898137b2faf067334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df462872b19b5826e610a585bc21eb21d6591706f0497731f237a6533b059fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-02-13T15:48:47Z",
    "title_canon_sha256": "a8601b2ed22d244725f78894602e5e873f06b7963031416d5cd1830caed4c3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.05574",
    "kind": "arxiv",
    "version": 3
  }
}