Pith Number

pith:HIPIWRGI

pith:2018:HIPIWRGIQGAZT47GUVESXCMIJR

not attested not anchored not stored refs pending

Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two

Daniele Cassani, Hugo Tavares, Jianjun Zhang

arxiv:1810.04524 v1 · 2018-10-10 · 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{HIPIWRGIQGAZT47GUVESXCMIJR}

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	2026-05-18T00:03:39.863391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a1e8b44c8818199f3e6a5492b89884c46f3cd21fb4d3d51db360344f7b090e5

Aliases

arxiv: 1810.04524 · arxiv_version: 1810.04524v1 · doi: 10.48550/arxiv.1810.04524 · pith_short_12: HIPIWRGIQGAZ · pith_short_16: HIPIWRGIQGAZT47G · pith_short_8: HIPIWRGI

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/HIPIWRGIQGAZT47GUVESXCMIJR \
  | 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: 3a1e8b44c8818199f3e6a5492b89884c46f3cd21fb4d3d51db360344f7b090e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1261ba2f422e9471457fe5a8637a75913c678e5aef24bc7a5b988cecd49909a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-10T13:36:30Z",
    "title_canon_sha256": "a3a9733c4842eb8d2394d33fbc99d10db7df5a18179331aacaae7b34bae0e604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04524",
    "kind": "arxiv",
    "version": 1
  }
}