Pith Number

pith:M2MFKBRQ

pith:2018:M2MFKBRQQJTDTPIVXYUCMUJXWH

not attested not anchored not stored refs pending

Hopfion solutions in gravity and a null fluid/gravity conjecture

Daniel W.F. Alves, Horatiu Nastase

arxiv:1812.08630 v1 · 2018-12-20 · hep-th · gr-qc · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2MFKBRQQJTDTPIVXYUCMUJXWH}

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	2026-05-17T23:57:49.478566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe

Aliases

arxiv: 1812.08630 · arxiv_version: 1812.08630v1 · doi: 10.48550/arxiv.1812.08630 · pith_short_12: M2MFKBRQQJTD · pith_short_16: M2MFKBRQQJTDTPIV · pith_short_8: M2MFKBRQ

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/M2MFKBRQQJTDTPIVXYUCMUJXWH \
  | 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: 6698550630826639bd15be28265137b1e3a602e830880720956f6650451038fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee7185b7912ed4808b3fa89153852b2a5b3c7bf6bb9c3a9569198d382ca45ca",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-12-20T15:18:35Z",
    "title_canon_sha256": "b501af1df52971a5d229ee795adfa196be6987323f1a0a6ac8a75272e757659c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08630",
    "kind": "arxiv",
    "version": 1
  }
}