Pith Number

pith:KLOO4DZH

pith:2007:KLOO4DZHIAGOCZQQXX6SEKV4YS

not attested not anchored not stored refs pending

Rigorous derivation of the hydrodynamical equations for rotating superfluids

Christof Sparber, Hailiang Liu

arxiv:0710.3002 v1 · 2007-10-16 · math.AP · 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{KLOO4DZHIAGOCZQQXX6SEKV4YS}

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	2026-05-18T04:41:35.225793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52dcee0f27400ce16610bdfd222abcc482fed199361e1b19a9b8af5be744cb5c

Aliases

arxiv: 0710.3002 · arxiv_version: 0710.3002v1 · doi: 10.48550/arxiv.0710.3002 · pith_short_12: KLOO4DZHIAGO · pith_short_16: KLOO4DZHIAGOCZQQ · pith_short_8: KLOO4DZH

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/KLOO4DZHIAGOCZQQXX6SEKV4YS \
  | 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: 52dcee0f27400ce16610bdfd222abcc482fed199361e1b19a9b8af5be744cb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a48e3c197b853595bf52f8331732a38793530523bd001fafb999b047386aebb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-16T10:19:53Z",
    "title_canon_sha256": "1e93633430203c403b2cb03371b7c893303117841fce627144685c0682b5103a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3002",
    "kind": "arxiv",
    "version": 1
  }
}