Pith Number

pith:X7ZWOV3F

pith:2016:X7ZWOV3FXBDGDXLRYULWKNFB3W

not attested not anchored not stored refs pending

Recovery of an embedded obstacle and its surrounding medium by formally-determined scattering data

Hongyu Liu, XiaoDong Liu

arxiv:1610.05836 v3 · 2016-10-19 · 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{X7ZWOV3FXBDGDXLRYULWKNFB3W}

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	2026-05-18T00:43:59.701195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff3675765b84661dd71c5176534a1dd97f174f49d14e02d007b20859bb018dc

Aliases

arxiv: 1610.05836 · arxiv_version: 1610.05836v3 · doi: 10.48550/arxiv.1610.05836 · pith_short_12: X7ZWOV3FXBDG · pith_short_16: X7ZWOV3FXBDGDXLR · pith_short_8: X7ZWOV3F

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/X7ZWOV3FXBDGDXLRYULWKNFB3W \
  | 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: bff3675765b84661dd71c5176534a1dd97f174f49d14e02d007b20859bb018dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ee4aa42b202d2fbe075da964328216e3a390f4a3fe4265867a17be3723c0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-19T01:16:55Z",
    "title_canon_sha256": "56507dc7e13491f972d74bbc2bf7562a64e3be7e87477c529e660c61ab6c525f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05836",
    "kind": "arxiv",
    "version": 3
  }
}