Pith Number

pith:IY32DIDM

pith:2025:IY32DIDM372BVTEK7LR2OF5MZ4

not attested not anchored not stored refs pending

Tollmien-Schlichting waves near neutral stable curve

Di Wu, Qi Chen, Zhifei Zhang

arxiv:2502.02258 v2 · 2025-02-04 · 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{IY32DIDM372BVTEK7LR2OF5MZ4}

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	2026-07-05T10:09:52.918100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4637a1a06cdff41acc8afae3a717accf2e9717009a382be9492437a71f1b2932

Aliases

arxiv: 2502.02258 · arxiv_version: 2502.02258v2 · doi: 10.48550/arxiv.2502.02258 · pith_short_12: IY32DIDM372B · pith_short_16: IY32DIDM372BVTEK · pith_short_8: IY32DIDM

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/IY32DIDM372BVTEK7LR2OF5MZ4 \
  | 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: 4637a1a06cdff41acc8afae3a717accf2e9717009a382be9492437a71f1b2932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627aa234be8fa0ef6214ef2f8f5e93e54c859679f69c60b202e82cac044fbcd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-04T12:10:47Z",
    "title_canon_sha256": "53dc31c01b6bf209b248ee459ad7ebedeb9c47c71fa6122195c87373b6de8bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02258",
    "kind": "arxiv",
    "version": 2
  }
}