Pith Number

pith:33J3MZHT

pith:2025:33J3MZHTLXHMIXEPZZZJYT5XPD

not attested not anchored not stored refs pending

Adjoint shape optimization from the continuum to free-molecular gas flows

Lei Wu, Ruifeng Yuan

arxiv:2501.00923 v1 · 2025-01-01 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33J3MZHTLXHMIXEPZZZJYT5XPD}

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	2026-07-05T09:56:12.015910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded3b664f35dcec45c8fce729c4fb778f8af6de4a4303b5d1a0ef2362bc5c316

Aliases

arxiv: 2501.00923 · arxiv_version: 2501.00923v1 · doi: 10.48550/arxiv.2501.00923 · pith_short_12: 33J3MZHTLXHM · pith_short_16: 33J3MZHTLXHMIXEP · pith_short_8: 33J3MZHT

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/33J3MZHTLXHMIXEPZZZJYT5XPD \
  | 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: ded3b664f35dcec45c8fce729c4fb778f8af6de4a4303b5d1a0ef2362bc5c316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf2529bf70b426426aecf78aa4c3d3c373e96ec5492baa8fd2035d47c994906",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-01-01T18:43:37Z",
    "title_canon_sha256": "5bb6616e71ae960da271f83b02e6e1f8f763c1c9a10e360d5f0d264c9e7df40f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00923",
    "kind": "arxiv",
    "version": 1
  }
}