Pith Number

pith:BQL6SDKM

pith:2018:BQL6SDKMASQZWNQN5WFCOIKJ6K

not attested not anchored not stored refs pending

The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions

Aythami Bethencourt de Le\'on, Diego Alonso-Or\'an, So Takao

arxiv:1808.07821 v3 · 2018-08-23 · 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{BQL6SDKMASQZWNQN5WFCOIKJ6K}

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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.

Cited by

1 paper in Pith

Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise

Receipt and verification

First computed	2026-07-05T05:14:07.602564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c17e90d4c04a19b360ded8a272149f284ab846550971128b0e40f5a88878d53

Aliases

arxiv: 1808.07821 · arxiv_version: 1808.07821v3 · doi: 10.48550/arxiv.1808.07821 · pith_short_12: BQL6SDKMASQZ · pith_short_16: BQL6SDKMASQZWNQN · pith_short_8: BQL6SDKM

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/BQL6SDKMASQZWNQN5WFCOIKJ6K \
  | 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: 0c17e90d4c04a19b360ded8a272149f284ab846550971128b0e40f5a88878d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e1a44acb936f79592f52896fc08709b2adfecc6bbc69c72f2a33a5fde0d9142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-23T16:12:45Z",
    "title_canon_sha256": "e73e38417a63575abc59ad2b037f9e8e7d186b641ce273df7b45e0e292d65bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07821",
    "kind": "arxiv",
    "version": 3
  }
}