Pith Number

pith:ULUFZVAV

pith:2018:ULUFZVAVQVXHKO6TRAMMZL7C6K

not attested not anchored not stored refs pending

Free Energies and the Reversed HLS Inequality

J. A. Carrillo, M. G. Delgadino

arxiv:1803.06232 v1 · 2018-03-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULUFZVAVQVXHKO6TRAMMZL7C6K}

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	2026-05-18T00:20:50.197468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e85cd415856e753bd38818ccafe2f2a4201bc20a94e21dc336f7edfd447cb5

Aliases

arxiv: 1803.06232 · arxiv_version: 1803.06232v1 · doi: 10.48550/arxiv.1803.06232 · pith_short_12: ULUFZVAVQVXH · pith_short_16: ULUFZVAVQVXHKO6T · pith_short_8: ULUFZVAV

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/ULUFZVAVQVXHKO6TRAMMZL7C6K \
  | 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: a2e85cd415856e753bd38818ccafe2f2a4201bc20a94e21dc336f7edfd447cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5900e1163dd8e606ecbcf47baee31166a52b308ab9a80becab4a5c654d2256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-16T13:47:46Z",
    "title_canon_sha256": "86a8763f0a369cee6c54e43045b6948a51486de20255f457486ebb76d790dad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06232",
    "kind": "arxiv",
    "version": 1
  }
}