Pith Number

pith:WD3OZGMP

pith:2025:WD3OZGMPLYRJN4SXAZPIJBJLA5

not attested not anchored not stored refs pending

Shape Taylor expansion for wave scattering problems

Gang Bao, Haoran Ma, Jingzhi Li, Jun Lai

arxiv:2501.03719 v2 · 2025-01-07 · math.NA · cs.NA · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD3OZGMPLYRJN4SXAZPIJBJLA5}

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	2026-07-05T10:36:34.018881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f6ec998f5e2296f257065e84852b075228a07828ec6d184676236a7b47dcbf

Aliases

arxiv: 2501.03719 · arxiv_version: 2501.03719v2 · doi: 10.48550/arxiv.2501.03719 · pith_short_12: WD3OZGMPLYRJ · pith_short_16: WD3OZGMPLYRJN4SX · pith_short_8: WD3OZGMP

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/WD3OZGMPLYRJN4SXAZPIJBJLA5 \
  | 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: b0f6ec998f5e2296f257065e84852b075228a07828ec6d184676236a7b47dcbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b471a6bb83d94cf8f23dcc5ca61fc63fc18e3a1dce93e5ecdcba9becf688021f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-07T11:58:20Z",
    "title_canon_sha256": "805171dd7edc1a684ba7a15f83eb8e5207be8808e328751371474d2b1679efdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03719",
    "kind": "arxiv",
    "version": 2
  }
}