Pith Number

pith:UUK2YLIT

pith:2012:UUK2YLIT3YMSM4DBVQY3EY7NNT

not attested not anchored not stored refs pending

Invariance Properties of Generalized Polarization Tensors and Design of Shape Descriptors in Three Dimensions

Daewon Chung, Habib Ammari, Han Wang, Hyeonbae Kang

arxiv:1212.3519 v1 · 2012-12-14 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UUK2YLIT3YMSM4DBVQY3EY7NNT}

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	2026-05-18T03:38:24.405987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a515ac2d13de19267061ac31b263ed6cfc647f8c221a1205f043a0f390a140b8

Aliases

arxiv: 1212.3519 · arxiv_version: 1212.3519v1 · doi: 10.48550/arxiv.1212.3519 · pith_short_12: UUK2YLIT3YMS · pith_short_16: UUK2YLIT3YMSM4DB · pith_short_8: UUK2YLIT

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/UUK2YLIT3YMSM4DBVQY3EY7NNT \
  | 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: a515ac2d13de19267061ac31b263ed6cfc647f8c221a1205f043a0f390a140b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c80c456fc94035cc52f4f1c26dcae35c637d74e3e7a1e86291bda977bdf3c2",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-14T16:34:50Z",
    "title_canon_sha256": "55ddab563a4a3aad05e7647a0cf59057a07ff5b34c02a15cb3faf0e5844fc40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3519",
    "kind": "arxiv",
    "version": 1
  }
}