Pith Number

pith:L4M6ZLF3

pith:2019:L4M6ZLF3N6VC6R75YZQSK5NR7G

not attested not anchored not stored refs pending

On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime

QingBing Wang, Xian-Hui Ge

arxiv:1912.05285 v3 · 2019-12-11 · 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{L4M6ZLF3N6VC6R75YZQSK5NR7G}

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	2026-07-05T04:18:26.098672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f19ecacbb6faa2f47fdc6612575b1f9ae5c30c2b7ccedf6d1e338195d525d62

Aliases

arxiv: 1912.05285 · arxiv_version: 1912.05285v3 · doi: 10.48550/arxiv.1912.05285 · pith_short_12: L4M6ZLF3N6VC · pith_short_16: L4M6ZLF3N6VC6R75 · pith_short_8: L4M6ZLF3

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/L4M6ZLF3N6VC6R75YZQSK5NR7G \
  | 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: 5f19ecacbb6faa2f47fdc6612575b1f9ae5c30c2b7ccedf6d1e338195d525d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbae9960ee163cd7704f5124a93772f4acd6a9bfeb5745903623f385cbce0944",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-11T13:27:30Z",
    "title_canon_sha256": "6318be9d84dab2a0a9fccfe7306ceaa9a9287ba87af0f50d069e3107ef06f007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05285",
    "kind": "arxiv",
    "version": 3
  }
}