Pith Number
pith:PHIKZ7MC
pith:2011:PHIKZ7MCG2L5437Y733FJB2N5P
not attested
not anchored
not stored
refs pending
Effective field theory for hydrodynamics: thermodynamics, and the derivative expansion
arxiv:1107.0731 v1 · 2011-07-04 · hep-th · astro-ph.CO · gr-qc · nucl-th · physics.flu-dyn
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PHIKZ7MCG2L5437Y733FJB2N5P}
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
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claim
4
Citations
5
Replications
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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
Receipt and verification
| First computed | 2026-05-18T03:48:23.494288Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
79d0acfd823697de6ff8fef654874debc89262866140338dcabefc12def712a9
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PHIKZ7MCG2L5437Y733FJB2N5P \
| 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: 79d0acfd823697de6ff8fef654874debc89262866140338dcabefc12def712a9
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "3f48be303cf5e876b52999dd9a2bedca709f0c573d7e0ec071d3bd8055df7ec5",
"cross_cats_sorted": [
"astro-ph.CO",
"gr-qc",
"nucl-th",
"physics.flu-dyn"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"primary_cat": "hep-th",
"submitted_at": "2011-07-04T20:06:31Z",
"title_canon_sha256": "c11fb94f8980fbafbf93c0b58afe8f8a03655a501badd4f27cf10ce4a1547c10"
},
"schema_version": "1.0",
"source": {
"id": "1107.0731",
"kind": "arxiv",
"version": 1
}
}