Pith Number

pith:ZKIXTHSY

pith:2026:ZKIXTHSYJXPBJIAMNOAB4XTWXS

not attested not anchored not stored refs pending

Perfect fluids revisited: an action principle approach

Kostas Tzanavaris

arxiv:2606.17084 v1 · 2026-06-12 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKIXTHSYJXPBJIAMNOAB4XTWXS}

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	2026-06-19T16:10:02.862175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca91799e584dde14a00c6b801e5e76bcb63c226c4cdb341fea99c48b7dbdcdb4

Aliases

arxiv: 2606.17084 · arxiv_version: 2606.17084v1 · doi: 10.48550/arxiv.2606.17084 · pith_short_12: ZKIXTHSYJXPB · pith_short_16: ZKIXTHSYJXPBJIAM · pith_short_8: ZKIXTHSY

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/ZKIXTHSYJXPBJIAMNOAB4XTWXS \
  | 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: ca91799e584dde14a00c6b801e5e76bcb63c226c4cdb341fea99c48b7dbdcdb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e669e656c51a4589befd9e3720d6397771fbac272e07c679e46aa3f99917f2a1",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-12T13:02:04Z",
    "title_canon_sha256": "a2b3436237b4b2f834b592246e0467dde46ab39b85b51cc897bf45af3896bd5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17084",
    "kind": "arxiv",
    "version": 1
  }
}