Pith Number

pith:TFTW55AX

pith:2020:TFTW55AXUNEF5LOEUKXGHB7W4W

not attested not anchored not stored refs pending

Acoustic black hole in Schwarzschild spacetime: quasi-normal modes, analogous Hawking radiation and shadows

Bin Wang, Hang Liu, Hong Guo, Xiao-Mei Kuang

arxiv:2007.04197 v2 · 2020-07-08 · 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{TFTW55AXUNEF5LOEUKXGHB7W4W}

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	2026-07-05T02:03:35.452181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99676ef417a3485eadc4a2ae6387f6e5affcf194db4a0b1e59109c3e0c7bb834

Aliases

arxiv: 2007.04197 · arxiv_version: 2007.04197v2 · doi: 10.48550/arxiv.2007.04197 · pith_short_12: TFTW55AXUNEF · pith_short_16: TFTW55AXUNEF5LOE · pith_short_8: TFTW55AX

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/TFTW55AXUNEF5LOEUKXGHB7W4W \
  | 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: 99676ef417a3485eadc4a2ae6387f6e5affcf194db4a0b1e59109c3e0c7bb834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add2f5922e3da4accb71c093f2f01427d5bfe46bdb228753cc8b3f9d85f81881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-08T15:38:41Z",
    "title_canon_sha256": "2a71be30b75f31694422ac34c1ae6c891b4098ab2d52ff97565e88e8f0575eae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.04197",
    "kind": "arxiv",
    "version": 2
  }
}