Pith Number

pith:PG7ZCFXM

pith:2015:PG7ZCFXM67L72LJEARDP5TUIHM

not attested not anchored not stored refs pending

A Quantitative Vainberg Method for Black Box Scattering

Jeffrey Galkowski

arxiv:1511.05894 v4 · 2015-11-18 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG7ZCFXM67L72LJEARDP5TUIHM}

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	2026-05-18T00:47:43.199559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bf9116ecf7d7fd2d240446fece883b0cf659cba8adb804d77b6fb53e4ea8af

Aliases

arxiv: 1511.05894 · arxiv_version: 1511.05894v4 · doi: 10.48550/arxiv.1511.05894 · pith_short_12: PG7ZCFXM67L7 · pith_short_16: PG7ZCFXM67L72LJE · pith_short_8: PG7ZCFXM

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/PG7ZCFXM67L72LJEARDP5TUIHM \
  | 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: 79bf9116ecf7d7fd2d240446fece883b0cf659cba8adb804d77b6fb53e4ea8af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76629e65d0b443f32e4d588771dbebf6232e6aa66b019d51c0dc4dea3a3bf367",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-18T17:53:25Z",
    "title_canon_sha256": "d098f0f8faad0e8d95cdc00f5666000f83baf6592f55950378ae6307cb81b857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05894",
    "kind": "arxiv",
    "version": 4
  }
}