Pith Number

pith:GVBWVQYN

pith:2024:GVBWVQYN5M2C2ANID4ES5K2GJ4

not attested not anchored not stored refs pending

Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field

Xiaoran Liu

arxiv:2411.17929 v1 · 2024-11-26 · 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{GVBWVQYN5M2C2ANID4ES5K2GJ4}

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	2026-07-05T09:41:09.149674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35436ac30deb342d01a81f092eab464f2ceba20d477df8f9d1fa0a283c09cda6

Aliases

arxiv: 2411.17929 · arxiv_version: 2411.17929v1 · doi: 10.48550/arxiv.2411.17929 · pith_short_12: GVBWVQYN5M2C · pith_short_16: GVBWVQYN5M2C2ANI · pith_short_8: GVBWVQYN

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/GVBWVQYN5M2C2ANID4ES5K2GJ4 \
  | 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: 35436ac30deb342d01a81f092eab464f2ceba20d477df8f9d1fa0a283c09cda6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc5ba7c246537a5a07d71c0fab6f1fe0740629bc26de9467207e56e56b11b41",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-26T22:59:08Z",
    "title_canon_sha256": "197004e436c9f308f74b2913a36965675746de4ebd8586f56d36dfe57d58d8d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17929",
    "kind": "arxiv",
    "version": 1
  }
}