Pith Number

pith:TS4ECMDK

pith:2015:TS4ECMDKSVL2AMQMTAWBDQVSWS

not attested not anchored not stored refs pending

Heterogeneous thin films: Combining homogenization and dimension reduction with directors

Carolin Kreisbeck, Stefan Kr\"omer

arxiv:1502.07139 v1 · 2015-02-25 · 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{TS4ECMDKSVL2AMQMTAWBDQVSWS}

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	2026-05-18T02:26:11.743701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb841306a9557a0320c982c11c2b2b4b3db0b76d604594d8c8a15f83af9a7a7

Aliases

arxiv: 1502.07139 · arxiv_version: 1502.07139v1 · doi: 10.48550/arxiv.1502.07139 · pith_short_12: TS4ECMDKSVL2 · pith_short_16: TS4ECMDKSVL2AMQM · pith_short_8: TS4ECMDK

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/TS4ECMDKSVL2AMQMTAWBDQVSWS \
  | 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: 9cb841306a9557a0320c982c11c2b2b4b3db0b76d604594d8c8a15f83af9a7a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515330b2b623db7c96829c24fc78b59a2483b0e8095e7d041ebe90505c061268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-25T11:56:50Z",
    "title_canon_sha256": "b1962eb5983951d6e70802a900c9947b9250fe6f318358034a80964d2973926c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07139",
    "kind": "arxiv",
    "version": 1
  }
}