Pith Number

pith:WRWPDEA2

pith:2019:WRWPDEA2BGZO22LC672TVQK4ML

not attested not anchored not stored refs pending

Einstein's Equations in Matter

Ashish Shukla, Pavel Kovtun

arxiv:1907.04976 v2 · 2019-07-11 · gr-qc · hep-ph · 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{WRWPDEA2BGZO22LC672TVQK4ML}

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

Carroll hydrodynamics with spin

Receipt and verification

First computed	2026-07-05T01:06:18.250978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46cf1901a09b2ed6962f7f53ac15c62e9ded93cc521b59d439a9a9c4842d9b1

Aliases

arxiv: 1907.04976 · arxiv_version: 1907.04976v2 · doi: 10.48550/arxiv.1907.04976 · pith_short_12: WRWPDEA2BGZO · pith_short_16: WRWPDEA2BGZO22LC · pith_short_8: WRWPDEA2

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/WRWPDEA2BGZO22LC672TVQK4ML \
  | 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: b46cf1901a09b2ed6962f7f53ac15c62e9ded93cc521b59d439a9a9c4842d9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3371cc8ed0131853f0a6f6f8ade2e8c956d37bba8622663c1a4ba373f01397f",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-11T02:18:19Z",
    "title_canon_sha256": "1ee46c2830a09739001b858744de6c34caba04fa3fcefae8878cd51254355802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04976",
    "kind": "arxiv",
    "version": 2
  }
}