Pith Number

pith:J2HA6TKU

pith:2020:J2HA6TKUXOQH2DR4UO2EJ2C7O2

not attested not anchored not stored refs pending

Machine learning for adjoint vector in aerodynamic shape optimization

Mengfei Xu, Shufang Song, Weiwei Zhang, Wengang Chen, Xuxiang Sun

arxiv:2012.15730 v1 · 2020-12-28 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2HA6TKUXOQH2DR4UO2EJ2C7O2}

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	2026-07-05T02:03:20.973799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8e0f4d54bba07d0e3ca3b444e85f7693f1911b7b5e0be7d6c2d92213b56c87

Aliases

arxiv: 2012.15730 · arxiv_version: 2012.15730v1 · doi: 10.48550/arxiv.2012.15730 · pith_short_12: J2HA6TKUXOQH · pith_short_16: J2HA6TKUXOQH2DR4 · pith_short_8: J2HA6TKU

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/J2HA6TKUXOQH2DR4UO2EJ2C7O2 \
  | 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: 4e8e0f4d54bba07d0e3ca3b444e85f7693f1911b7b5e0be7d6c2d92213b56c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5b6989c7e3f9cbd8ecfb8673885bc5cc99916fa665ab3bf7856febbe32be7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2020-12-28T03:56:21Z",
    "title_canon_sha256": "036e58a5e09f27fdca0bdf2e86cf55b939115d674fa69bd294ea28b345724f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15730",
    "kind": "arxiv",
    "version": 1
  }
}